Consider the following. g(x) = 2e-x + In x; h(x) = 5x2.1 Find the derivative for f(x) = g(x) · h(x). f'(x) = ||

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y= ln x3

A: Given:

Q: Find the second derivative for the functions defined as follows g(x) = 4x(ln x)

A: We have to find second derivative of the function: gx=4x lnx Since two function are in product so we…

Q: 10. Find the first derivative: f(x) = (x³ + 2x) In x

A: Given Data: Function: fx=x3+2xlnx The product rule of derivative is, ddxfx·gx=fxddxgx+gxddxfx Use…

Q: 1. If y = x³ + x - 5 then what is the derivative of y with respect to x?

A: Derivative of a function

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 derivative of f(x)=ln(x^3-x+2)

A:

Q: Find the thousandth derivative of  f(x)  = x e-x

A:

Q: Find the first derivative of g(x) = - 9e* tan(x). : (x),6

A:

Q: Find the first derivative of y with respect to x for the following :functions b- y = In( 3x .e-*)

A:

Q: Compute the derivative of f(x) = 7 ln (x + 10) + In (x³ ): Answer: f'(x) =

A: Given function is  f(x)= 7ln(x+10) + ln(x3), we have to find the derivative of f(x) with respect to…

Q: y = ln 1-x² 1+x²

A:

Q: y = In- e 2x+1

A:

Q: Find the derivative of y with respect to x of y = xlnx – x.

A: Using rules of differentiation.

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

A:

Q: X+3

A:

Q: Determine the derivative of f(x)=ln(x√x^2+1).

A:

Q: Find the derivative of f (x) = 9ª ln (x).

A: Given: f(x)=9xln(x)

Q: Find the derivative of the function.

A: Given that, f(x)=ln(x-1)   As we know, ddxln(x)=1x Chain Rule Of derivative, If…

Q: 4. Find the derivative of the following function 1 y = xtanx + -

A:

Q: 26 Find the 155th derivative of (1 + x°)" at x = 0.

A: see 2nd step.

Q: compute a formula for the nth derivative of f(x)=e2x

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

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

A:

Q: find the derivative of ln(3x^2+e^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: Find the derivative of the following function. y= 4 ln x – In(x-8)

A: we have to derivative

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

A:

Q: 3/x +1 f(x) = X+2 at x = -1

A:

Q: Find the second derivative of the function.

A: Given the function: g(x)=x + ex  ln(x) We have to find the second derivative of the function. Let's…

Q: 3x g(x)=e* In(4x+1) (с)

A:

Q: find the first derivative of   F(x) = e(x+5)

A: Given,

Q: Find the derivative of the function. f(x) = ln 2x/(x + 3)

A:

Q: Find the derivative of the function  f(x)= e^-3x ln x

A: Given function is

Q: Find the derivative of flx) = x 1x \ - Does plo) exist

A:

Q: Find the derivative of the function h(x) = x2 arctan5x

A: The given function is h(x) = x2 arctan5x

Q: Find the derivative of the function. f(x) = ln(x2 + 3)

A:

Q: Find the derivative of the function: f(x)=ln[x^2÷(x+1)^3

A: Formula:

Q: Find the derivative of the function.   y = In(x)/x9

A:

Q: Find the derivative of the function. f(x) = ln(4x)   f '(x) =

A: Given function

Q: Find the derivative of y with respect to x if y = (5x2 – 10x + 10) e - 6x y' =

A: We have to find the derivative of y with respect to x.

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

A:

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

A:

Q: (x² +SJ° In 14-X つ. dr

A:

Q: 15) Determine the 3rd derivative of the function f(x) = 2\x-x³ [T:2]

A: topic - derivatives

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. h(x) = ets. - x + 1

A: Differentiate w.r.t x

Q: Find the derivative of f(x)= ln x^2/x^2+1

A:

Q: Find the derivative of the function y = ln 5x/(1 − x)

A:

Q: Find the derivative of f(x) = 3/x ln(x), f' (æ) =

A: Chufu