For the function f(x)= 3x² +2x–1, Find the equation of the line tangent to the curve at x = -1 2.

Q: What is the equation of the tangent for f(x) = 3(3^x) with the coordinate point x = -1

A: Given: f(x)=3(3x). Take the first derivative wrt x, f'(x)=ddx3· 3x==3ddx3x

Q: 3. Find the equation of the tangent line to the graph of x²y? + 9xy = 162 at the point (-3, 6).

A:

Q: Find the derivative of the function. f(x) = V 5x + 4

A: Question number 1,Given,          fx=5x+4

Q: If f(x) = 9x2 – x³, find f'(2) and use it to find an equation of the tangent line to the curve y =…

A: Equation of line : y-y1 = mx-x1 where x1,y1 is the point and 'm' is the slope of the line.

Q: For the pair of functions, find the derivative of the composite function f(t(x)) in terms of one…

A: The given pair of functions  ft=4t and tx=x2+7x To find the derivative of the composite function ftx…

Q: For the function f(X) = ax3 +ba2 +cx, find the second derivative, f"(X). Here a,b and c are…

A: Given Function,F(x) = ax3 + ba2 + cx

Q: For the pair of functions, find the derivative of the composite function c(x(t)) in terms of one…

A:

Q: Find an equation of the line tangent to the function of x2 + (y – x)² = 9 at x 1.

A: You have posted multiple question. As per the instruction, we are answering the first one. If you…

Q: If f(x) = x° – 5x + 1, find f'(1) f'(1) = Use it to find an equation of the tangent line to the…

A: Given function, fx=x3-5x+1 Tangent is passing through (x1,y1) (1,-3).

Q: For the function ƒ(x) = x² – 11, find the equation of the tangent line at å = −12.

A: Given function f(x)=x2-11 We have to find the equation of tangent line at x=-12 Derivative of a…

Q: For f(t) = (2x − 3)3, find the equation of the tangent line at (a)  x = 0 (b)  x = 2

A: We have to find tangent line to f(x) at two different points, f(x) is given .at x=2 y=1at x=0 y=-27

Q: The equation of the line tangent to f(x) = (x² – 9) (2x – 1) at æ = 2 is y = 2x –*

A: Given that: f(x)=(x2-9)(2x-1)

Q: For what values of x is the tangent line of the graph of f(x)=2x^3+9x^2+14x−12 parallel to the line…

A: Remarks; slope of two parallel line are same

Q: For the pair of functions, find the derivative of the composite function f(t(x) in terms of one…

A: Given,

Q: If f(x) = 9x2 − x3, find f '(1) and use it to find an equation of the tangent line to the curve y =…

A: Given  fx =9x2-x3  Differential both sides w.r.t x and using ddxxn=nxn-1

Q: Find the equation of the tangent to the function f(x) =1+2x-x² at the point where x= -2. Answer:

A:

Q: For the function f(x) = 2x^2 +7x-6 Find equation of the tangent line to f(x) at x = 6.

A: Given: fx=2x2+7x-6

Q: If f(x) = 9x2 - x°, find f'(1) and use it to find an equation of the tangent line to the curve y =…

A:

Q: Find an equation of the line tangent to the following curve at the point (a,f(a)). f(x) = 8 ex + 5x;…

A:

Q: for the function f(x)=11x^3-x, find the slope of secant line at interval [1, 1.01]

A: We have given a function f(x).

Q: Compute f'(x) and find an equation of the tangent line to the graph at x = a. f (x) = 5x − 32√x, a =…

A: For a function f(x), f'(x) denotes its first derivative. Value of first derivative at a point gives…

Q: Find an equation for the line tangent to the graph of…

A: Given function is fx=-2xex To find: Th equation of tangent line at point a,fa for a=2 Solution:…

Q: FIND THE EQUATION OF THE LINE TANGENT TO f(x)

A: Our objective is to find the equation of tangent line at a given point.

Q: For the function f(z) = 3x- 2x +2, f(r + h) - f(x) evaluate and simplify: 4: Find the value of the…

A: Here, f(x)=3x2-2x+2

Q: the line tangent to f(x)=x' 3.

A: we have to find the equation of line tangent to  f(x)=x3-x2-5      , at the point (2,-1)

Q: Given the function f (x) = xe 4*, find the equation of the tangent line at the point (-1, -e*).

A:

Q: Q1) A) Find the tangent equation for the function f(x) = Vx² + 5 at =2 ?

A: To find  The tangent equation for the given function

Q: For the pair of functions, find the derivative of the composite function f(t(x)) in terms of one…

A: Given that the composite function f(t(x)) in terms of one input variable. f(t) = 3t ; t(x)  =x3   To…

Q: Find an equation for the line tangent to the graph of f at (3, 103), where f is given by f(x) = 5x³…

A: As we know that; The expression for the equation of the tangent line is: y-y0=mx-x0 Where m is the…

Q: Let f(x) = 3x^2 + x + 5. a) Find the equation of the tangent line at x = 10. b) For what value of x…

A:

Q: For the function f(x) = 10x² + 10x – 1, find the equation of the tangent line at x = 2.

A: Given function     f(x) = 10x2 + 10x - 1 at x = 2,     f(2) = 10(2)2 + 10(2)  - 1 = 59

Q: Find an equation for the line tangent to the graph of f(x) = 2xe %3D at the point (a, f(a)) for a =…

A: f(x) = 2xexslope of tangent will be calculated by differentiation function f(x) at given point.f(x)…

Q: Find the slope of the tangent line to the graph of the function at the given point. 4x? + 3y² = 36…

A:

Q: For the pair of functions, find the derivative of the composite function f(t(x)) in terms of one…

A: Derivative: f(t)=ett(x)=9x-4f(x)=e9x-4We know,ddx(ex)=ex

Q: Consider the function f(x) = 1/3x3 + 3/2x2 - 4x. At which point(s) is the slope of the tangent line…

A:

Q: Q1) A) Find the tangent equation for the function: f(x) = Vx2 +5 at =2?

A: The given function is; f(x) = √(x2+5)

Q: Given f(x)=(x+1)ex find the equation of the line tangent at x=0 .  Where does the tangent line…

A: Given: f(x)=(x+1)ex To determine: The equation of the line tangent at x=0. The point at which the…

Q: Q1) A) Find the tangent equation for the function: f(x) = vx2 + 5 at =2 ?

A: The equation of the tangent using the slope intercept is y=mx+b Where 'm' is the slope of line and…

Q: For the pair of functions, find the derivative of the composite function c(x(t)) in terms of one…

A:

Q: If f(x) = 9x2 − x3, find f '(2) and use it to find an equation of the tangent line to the curve y =…

A:

Q: Assume f (x) = −4 / x. Find the equation of the line tangent to f (x) at (4, −1).

A: The given function is fx=-4x. To find the equation of line tangent at 4 ,-1. Solution: The given…

Q: If f(x) = 9x2 – x³, find f'(1) and use it to find an equation of the tangent line to the curve y =…

A:

Q: For  f(x)=(2x−3)3, find the equation of the tangent line at x=0 and x=2.

A: Given the equation of the curve, f(x)= (2x-3)3 To find the equation of the tangent line at x=0 and…

Q: For the pair of functions, find the derivative of the composite function c(x(t)) in terms of one…

A:

Q: For f (x) = x 3, show that the slope of the secant line over [ -3, x] is x 2 - 3x + 9, and use this…

A:

Q: For the function f(x) = 10x² – 3x + 5, find the equation of the tangent line at x = 8.

A: We have to find the equation of the tangent line of  f(x)=10x2-3x+5 at x=8.

Q: For the function f(x,y)= x^2 +2y^2 Use the first derivative test to determine if the function is…

A: Given function

Q: Find an equation for the line tangent to the graph of: f(x)= 2xex at the point (a,f(a)) for a=2.

A: Given curve Now, we find f'(x) We know that slope of tangent line to the curve y=f(x) at point x=a…

Q: Find the y-intercept of the line tangent to y=(x' – 4x² + 8)en * at x = 2. а. -21.032 b. -2.081 с. 0…

A: Topic:- Application of Derivative  Correct option = d

Q: For the function y= In(x² – 2) , the slope of the tangent at x = 2 is

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: