Find the second derivative of the function. In(x) f(x) = + 6x? -4x° – 18xln(x) + 3-6 ln(x) + 12 f"(x) = x11

Q: Find the derivative of the function. 3x 9(x) = e+5.

A:

Q: Find the derivative of the function. f(x) = ln(5+e^x/5-e^x)

A: Use derivative formula :- f(x) = lnx then derivative f'(x) =1/x

Q: Find the first derivative of y = e3x. 3e3x

A:

Q: Find the first derivative of the following functions Y = x5 e-3 ln x and Y = ln √ [ (x – 1 ) / ( x…

A: Solution is given below:

Q: Find the derivative of: 9e 7sin ( 3x*) Use e^x for e". -

A: We use chain rule to find the derivative.

Q: Find the 80th derivative of y = cos(2x).

A: The given function is y=cos(2x)

Q: Find the derivative of the function. g(x) = e-X + 3e2x - 2e-x + 11 g'(x) =

A:

Q: y = ln 1-x² 1+x²

A:

Q: Solve for the first, second, and third derivatives of y = 1/(4 + x) and then find a formula for its…

A:

Q: y = kx xe

A: y=xe-kxTo solve the derivative

Q: Find the derivative of the function. g(x) = e¯x + 3e2x – 1e-x + 17

A: Use the property for the exponents to simplify the function g(x).

Q: Find Find the second derivative of the given function. y = In(x² – 1)

A:

Q: Find the derivative of the function f(x)=ln(10e^13x−7).

A: Note: Since you didn't use parenthesis while writing the function, there can be two possibilities…

Q: Find the derivative y = (2x – a) (x² + e-")

A: We havey= (2x-x3)(x2 + e-x)

Q: 1+cscx 7. h(x)=- 1-csc x

A:

Q: Find the second derivative of the function. 3root(x) + e^(6x)ln(x)

A:

Q: Find the third derivative of the function given by the equation x2+3xy+y2=1.

A: Given the equation of a function:

Q: Find the first derivative of: x = t²e2t

A:

Q: Find the derivative of y with respect to the independent variable. x8)n 5) y =log 5 x-8

A: using the fact of logarithmic  logax=lnxln(a) find the derivative

Q: 1. Find the derivative of the function f (x) = e2x + 5* + x3

A:

Q: Find the derivative of the function. 8x -8x y = -8x Bx + e -&x 8e&_ 8e

A:

Q: find the derivative of ln(3x^2+e^x)

A:

Q: Find the second derivative of the function. f(x) = (3 + 2x)e−3x

A: Given:The given function is f(x)=(3+2x)e-3xTo find:The second derivative of function f(x)

Q: h(x) = e(-1/2)x

A:

Q: 3 Find the first derivative of f (x) = 3x e

A: Given that : f(x)= x3 / e3x. Find the first derivative of this function. We know that d(xn)/dx =…

Q: If y=e2X, then the value of first derivative (y') is- 2e2x -2e2x e2x e-2x

A:

Q: How to solve the derivative of this

A:

Q: 1. x² - 2xy + y² − 6x + 2 = 0

A:

Q: Find the second derivative of x² y² + xe = 2 sin y

A: Solution is given below:

Q: B) Find derivative of the following function d -6tanx dx

A:

Q: Find the derivative of the function. f(x) = ln(x2 + 1)2

A:

Q: y = In (*+1) °(x+1), (x+2)3

A:

Q: Find the derivative of the function y, below. y = 6x(ln a + In 5) – 8x + e ||

A: Given that y=6x(lnx+ln5)-8x+e To find the derivative of y

Q: e2x -e-2x e2x+e-2x

A: Solving the problem by finding the second derivative.

Q: Find the second derivative of the function. 9. g(x) = x-1 10. h(x) = sinx = (x)6

A:

Q: Solve the problem and give a detailed solution. Find the 3rd derivative of y = ln(cos(e3x))

A: Note ÷ I have used chain rule and product rule multiple times. Please look carefully.

Q: 3x-4 1. Y= Arctan 4

A:

Q: Find the derivative of the function g(æ) = (5æ² – 4x)e" - g'(x) =

A: →duvdx = udvdx + vdudx→dexdx = ex

Q: Find the 85th derivative of y = cos(3x).

A: Do the derivative many times and observe the pattern that derivative follows. Generalized it and…

Q: 2x Find the derivative of h(x) 2x + 3

A: Given:  Function  h(x)=-2x2x+32

Q: Find the derivative of the function. y = 4x e -2x – 4 e x5

A:

Q: (b). Find the second derivative. y=x²-5vx

A:

Q: Find the derivatives of the functions y = x-2 sin2 (x3)

A: We have to find derivatives of the functions: y=x-2 sin 2x3 We know formula of differentiation,…

Q: find the first derivative in the form of dy/dx y=(3x-ln(x))^5

A:

Q: Find the derivative of the function. y= -3(6x2 +8) -6 dy dx (Type an expression using x as the…

A:

Q: 5. x= y= t2-1

A:

Q: Find the derivative of the function. h(x) = ln(2x2 + 1)

A:

Q: Find the first derivative of:   f(x) = ln [(5x+2)1/2 / csc(x)]

A:

Q: Find the derivative of the function f(x) = 3 ln(x) + e5ª. df = dx

A:

Q: Find the derivative of the function. f(x) = e-4x

A: The given function is:fx=e-4x