Find the derivative of the function f(r), below It may be to your advantage to simplify before differentiatin f(e) = In(e 4)

Q: Find the derivative of the function. Simplify where possible. f(x)   = x In(arctan x)

A: Given: The above function contains two functions, so the product rule is used to differentiate.

Q: Find the second derivative for the functions defined as follows.h(x) = x/ex

A: Given:             f(x)=xex

Q: find the derivative of he functions fro cosco")

A:

Q: Find the derivative of the following functions and simply it whenever possible. y = ln(x+3)4

A: Please see the answer below.

Q: Find the derivative of f( x ) = 2° log3(z + 2.5) f'(x) =

A: The first derivative of the function is . The product rule of the differentiation is .

Q: Find the derivative. Simplify where possible. f(x) = tanh ( 1+ e2x  )

A: f(x) = tanh ( 1+ e2x  )

Q: Find the derivative of the function. g(x) = arccos(x) / x+7   g'(x)=__________________

A:

Q: Find the derivative of the function below using differentiation rules. y=ln(x)/x

A: Given. We are given a function such that f(x) = ln(x)/x We need to find derivative of the given…

Q: Find the derivative of the function given below. f (x) =9e* ex

A: To find the derivative of the function f(x).

Q: What is the derivative of f (x) = cosh(x) + sinh(x)?

A: Given that f(x)=cosh(x)+sinh(x) find the derivative of f(x)

Q: . Find the equation of a line tangent to the graph of f (x) = cotx at x = T/4. .Find the derivative…

A:

Q: Find the derivative of excosh(x)

A: Topic:- Derivative

Q: Find the first derivative of f(x) = e3r

A: To find the first derivative of fx=x3e3x. Solution: Quotient rule of derivative states that:…

Q: Match the graph of the above function with the graph of its derivative.

A: Given data÷

Q: Find the derivative of the function.

A: We have a nested form of functions . We have to use chain rule of differentiation to find the…

Q: X+3

A:

Q: Find the derivatives of the follow ing functions with respect to x. x = tan (e"

A:

Q: Find the derivative of the function g(x)= tanx/e^x.

A: This problem can be solved by the quotient rule in derivatives.

Q: What is the derivative of y = ekx? For what values of k does this rule apply?

A: Given function is, y=ekx. The derivative of the given function is found as follows: dydx=ddxekx=kekx

Q: What is the derivative of the function with respect to x of (x + 1)³ – æ° -

A: Given : Function x+13 - x3   To find : Derivative of the given function with respect to x?

Q: find the derivative of y with respect to the givenindependent variable. y = 5√s

A: Given

Q: Find the derivative of the function f(x) = ln(sinh x)

A:

Q: Find the derivative of the function. f(x) = 6√x + 5 cos x

A: To find the derivative of the given function f(x).

Q: Find the derivative of f(x) = Vx2. What is f'(5), rounded to 3 decimal places?

A:

Q: Match the graph of the above function with the graph of its derivative. 0 ㅇ O 수 +

A: The given graph of the function is the graph of a semi circle. Or positive side of the circle.

Q: Find the derivative of the function .

A: Given a function f(x)=2x3+3 cos x f(x)=2(x)1/3+3 cos x      =2x-1/3+3 cos x We, use the following…

Q: Find derivative of f(x) = ln(5x + 2) The slope (as fraction) of the tangent line at x=2 is

A:

Q: Find the derivative of the function below. f(x) = (49 + x)V arctan (ラ) f (x) =

A:

Q: Find the derivative of the function. 10 f(x) = 3 + 2cos x

A: Recall: dxndx=n xn-1 d(cos ax)dx= a(- sin ax) dc1f(x)±c2 g(x) dx= c1d[f(x)]dx± c2d[g(x)]dx

Q: Find derivative of f ( x ) = x^3 e^x The slope (rounded to whole number) of the tangent line at x=2…

A:

Q: find the derivative of the function.

A: h(x)=xcosx

Q: Find the derivative of the following functions using the long method (limits) y= tan x

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

Q: at x: つ:8ー5x, atx=e

A: Given:  F(x) = x3 - 5x ...(1)       and the…

Q: Find the derivative for x+1 a)f(x)=- x-4 b)f(x)= sin' 2x Show the work on your notebook, take a…

A: (a) To find: The derivative of fx=x+1x2-4. Formula used: Quotient rule of derivative:…

Q: Find the derivative of the function.

A:

Q: Find the derivative of the function. h(e)- (-1) ( 1) +]

A: Given ht=t4-15t3+16

Q: Find the derivative of the function. 10 f(x) = + 6cos x Vx

A: Differentiate above equation with respect to x

Q: Find the 4th derivative of x^10 evaluated at x=0. What would be the 100th derivative of x^2000 be at…

A:

Q: Find the derivative of y = cot^-2(x)

A: Derivative of Apply chain rule to take derivative

Q: Find the derivative of the function. f(x) = 4 3√x + 2cos x

A: The given function is ; f(x)=4/3sqrt(x) +2Cosx.

Q: Find the derivative. Simplify where possible. f(x)  =tanh (1 + e2x)

A: Here given as fx=tanh1+e2x Since  ddxtanhx=sech2x

Q: Find the derivative of the function g(x) = ln ex/(1 + ex)

A:

Q: Find the derivative of the function. h(x) ető - x + 1 ets

A: hx=ex8-x+1

Q: Find the derivative of the function. Simplify where possible.

A: Here given function gx=1-x2 cos-1x

Q: Find the derivative of the function. h(x) = ∣x∣ cos x

A:

Q: Find the Derivative of the given function. If f(x) = -3, then f'(z) = %3D

A: Given f(x)=-3

Q: Find the derivative of the following function. Show all your work for full credit. h(w) = e" (tan w+…

A: hw=ewtanw+secw

Q: Find the derivative of f(x) = cot^−1(x^2 + 3)

A:

Q: Find the derivative of the function. 10 f(x) = 3 + 4cos x %3D

A: Given that fx=10x3+4cosxTo find its derivative

Q: State the notation/symbol for: derivative of y with respect to x derivative of f(x) second…

A: Since you have asked multiple questions in a single request, we would be answering only the first…