Let f(x) = x' – 5x. Calculate the difference quotient f(2+h)-f(2) for h = .1 h = .01 h = -.01 h = -.1

Q: Find the derivative of the function by the limit process.

A: We have to find derivative of the function using limit process: fx=x+4 We know the formula of…

Q: Find the derivative of the function.

A: Given function is By using the properties of logarithm, ln(a/b)=ln(a)-ln(b) and ln(a^b)=bln(a), we…

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Q: Find the derivative of function.

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Q: Use the second derivative test to find the extreme values of the function J () = x³ – su² 24X .

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Q: 2) Use the limit definition to find the derivative of the given function. y = 3r2 – 2x

A: Limit definition of derivative is f'(x)=limh→0f(x+h)-f(x)h

Q: Find the derivative of the function. f(x) = In(x + V7 + x²) f '(x) =

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Q: FIND THE DERIVATIVE BY THE LIMIT PROČESS OFF(x) = Vx+2.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Use the first derivatives test to find local exterma of f( x) =x3 -12x on R

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Q: Use the u-substitution to find the anti-derivative of m'(x)= 1/xln(x)

A: solution :- antiderivative is the integration  So put ln(x)  = u Then (1/x )dx  = du And then…

Q: Find the derivative of the function. f(x) = In(x + 1) f'(x) =

A: To find the derivative of the function fx=lnx+1

Q: Find f'(x) using the delta definition of the derivative (i.e., limit process) vhere f(x)= x² – 5x…

A: Given that        f(x) = x2 - 5x + 12 Here we have to find f'(x) by using the delta definition of…

Q: Find the derivative of the function 3 f(x) = V (x² – 2)' at x = -1. f'(- 1) =

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Q: 1 y = V2x+5 /2х+5

A: By see this solution

Q: Solve the first derivative of f(x) = 52x+1 at x = 0.5 using backward finite-divided difference and a…

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Q: Find the derivative of the function. 1 3x' g(x) = dt 1 + t4 Jtan x

A: Given : g(x) = ∫tanx3x211+t4dt

Q: Find the general anti-derivative of f(x) = + Vx on a continuous interval.

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Q: Develop a general rule for the nth derivative of xf(x), where f is a differentiable function of x.

A: Given: the function xfx, where f is a differentiable function of x.

Q: Find the derivative of the function by the limit process. h(s) = −2 (square root of x)

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Q: 2. Find y' if y = 5x + 2 using the limit definition derivative.

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: fx て (X)

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A: We have givenWe have to find a formula for nth derivative of f(x)

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Q: p(x) = In(x)^/x

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Q: Consider the derivative function h (x) = 5x³ + 3x² – 4x + 4. What is the general antiderivative of…

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Q: Determine the 3rd derivative of the function y=x3/x+2 at x=−1.

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Q: Find the derivative of the function by the limit process. f(x) = x2 − 5

A: Given function is By limit definition of the derivative

Q: Find the derivative by the limit process. f(x) = 10 – x2 %3D

A: We know that the derivative of a function fx is given by:f'x=limh→0fx+h-fxh

Q: 2. What is the average rate of change of the function f (x) = x² – 3x over the interval [1,1.01]?

A: use average rate of change formula .

Q: Find the derivative of the function by the limit process.

A: Given: fx=x2-5 To Find: The derivative of the given function by the limit process

Q: Find the derivative of the function by the limit process. f(x) = 3x- 1 - (x), J

A: fx=3x-1

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A: we have to find the derivative

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Q: * find the dicredional derivative af the. f omc tion and in the direction of a= [o,3, 37 + find the…

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Q: Find the first derivative of with respect to x using the increment method y=3x^2-7x+12

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Q: Find the derivative of the function by the limit process. f(x) = x2 + x − 3

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Q: Find the derivative of the following using the three-step rule 2. y=Va² +x

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Q: nd the derivative by the limit process (Gener x) = Vx2 - 4

A: In this question, the concept of the derivative is applied. Derivative The derivative is used to…

Q: Use the first derivatives test to find the local exterma of f(x) =x3-12x on R

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Q: Find the function with the derivative f'(x) 3x = e whose graph passes through the point P| 0,

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Q: Find the derivative by the limit process. f(x) = 13 – x2

A: Given that: f(x)=13-x2

Q: Find the derivative by the limit process. f(x) = 15 – x²

A: Givenf(x)=15-x2Step -1From the definition of derivativef'(x)=lim∆x→0f(x+∆x)-f(x)∆x

Q: Find the derivative of the function. x + 4 f(x) = In X – 4 | f'(x) =

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Q: Find the derivative of the function by the limit process. f(x) = x3 - 9x + 1 f'(x)

A: We know,f'(x) = limh→0 f(x+h) - f(x)h  by limit processHere,f(x) = x3 - 9x + 1So,f(x+h) = (x+h)3 -…

Q: Find the anti-derivative of g'(x)= log1/2(X)

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Q: Use the definition of derivative to compute f '(0). e-1/x if x * 0 if x - 0 f(x) f '(0) -

A: The definition of the derivative is given by: f'(x)=limh→0f(x+h)-f(x)h⇒f'(0)=limh→0f(h)-f(0)h  ...…

Q: Find the average rate of change of the function f(x) = x 5x - 1, over the interval [-1,3

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