2) Find nth derivative of the following function f(x) = ex

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

A: Given:             f(x)=xex

Q: 2. x² + 4xy + y² = 1

A: Differentiation

Q: (1) Using the definition of derivative, find the derivative of th following functions: (a) y = xvx²…

A:

Q: Find the derivative of function.

A: The given function is f(x) = ln(xex+2).We have to find the derivative of this function with respect…

Q: 4. By implicit differentiation , find the 1st derivative of x3 + y3 + 6xy = 0

A:

Q: Find the derivative of function and simply it whenever possible y= ln(ln sec x)

A:

Q: Find the derivative of the function. f(x) = sin(x) cos(5 – x²) f'(x) =

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: Derive the formula for the derivative with respect to x of csc x.

A: We will write cscx= 1/sinx  Then we will use the quotient rule to differentiate

Q: 2х- 3 3. У3 5x +1

A:

Q: Find the derivative of the function. h(x) = x2 arctan(5x)

A: Given function: hx=x2tan-15x Differentiate the above function w.r.t "X" h'x=ddxx2tan-15x

Q: What is the first derivative of q(x)= ln((7x^2+3x+7)/((x^5/6)(tan(x)))

A:

Q: Find the nth order derivative of the function y=sin2x.

A:

Q: Find the second derivative of the function. y = x sin2 x

A: Given information: The function is y==xsin2x To find the second derivative, first differentiable…

Q: 2. Find the first derivative given that f(x)=x√√x + 1 x²√x

A:

Q: 4. Find the derivative of g(x) = e5" sin(-x). Do not simplify.

A:

Q: 2) Find the derivative of the function f(x) = (x³ – tan(4x² – 2)* |

A: Given :            To find the derivative of the given function                f(x) = x3 -…

Q: 2. Find the derivative of g(x) = 2x sin 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 the function f(x) = 7x sin(4x).

A:

Q: 10)Find the first derivative or f’(x) of the following functions using long method derivatives

A: We need to find derivative of given function.

Q: (3x+4` x² +5, y = tan

A: We know that d(tanx)dx = sec2(x) Now we will apply chain rule , Here we have    y = tan3x+4x2 +…

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 the derivative of the following function. y= 4 ln x – In(x-8)

A: we have to derivative

Q: Find the derivative of the following function at the indicated point from the graph of y=​f(x)…

A: Find the derivative at the given point

Q: Find the derivative of the function. y = -4 sin 7x

A:

Q: Find the 73rd derivative of the function f(x) = 2 sin(x). f (73) (x)

A:

Q: 1. Find the derivative of the function sin (4x) f (x) = V 3x

A:

Q: 4. Find the derivative of the following function. 1+ sinx g(x) = - V1+ cos x

A: Given: gx=1+sinx1+cosx for finding derivative of given function, first we simplify given expression…

Q: Find the first derivative of the function of f(x) using any method?

A: Given,

Q: 22 Find the 43rd derivative of (1 + x²)“ at x = 0. 0.

A:

Q: 1. Y= 3x -x- 2

A: Find your answer below

Q: 7. Find the nth derivative of y = 1//x.

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

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 of the following function. X- y = 3 sin x -3 dx X- sin x =

A:

Q: Find the derivative of the following. y = x2 sin x + 2x cos x - sin x

A: We need to find the derivative of the following, y=x2sinx+2xcosx-sinx

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

A: Given function

Q: Find the derivative of h(x) = sin2x

A:

Q: Determine the 8th derivative of y with respect to x of the function : f(x) = 1 / 1 + x2 and find the…

A:

Q: 2) Find the derivative of f (x) = tan(1 + cos 3 x) 3) Find the derivative of f(x) = Vx3 – 4x2

A:

Q: Q1: Calculate the 5th derivative of f(x)= (2x-5) sin x *

A:

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

A: Here given function gx=1-x2 cos-1x

Q: Find all possible functions with the given derivative. = రx = 1x 2x

A: The answer is given below

Q: 2. Determine the 8th derivative of y with respect to x of the function f(x) = 1 + x2 and find the…

A: fx=11+x2 Differentiate the above function with respect to x. f'x=ddx11+x2=2x1+x22 Again,…

Q: Find the derivative of the function. h(x) = x² arctan(8x)

A:

Q: Obtain the first derivative of the function f (x) = sinx/x using Richardson's extrapolation with h =…

A: Given  f(x) = sinxx we have to obtained the first derivative of f(x) by using  Richardson's…

Q: 8) Find the first derivative of f (x) = sin 2 (x3).

A:

Q: 4. Find the 2nd derivative of f (x) = 4-x x)%3)

A: To determine the second derivative of the function given by; f(x)=4-x Differentiate the function…