2. Consider the following function: f(x) : derivatives. Make sure you simplify your answers. х Find the first three eх-1

Q: Evaluate the derivatives of the following functions

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Q: 1. Find the function whose derivative is XV X xª – 1

A: We need to find a function whose derivative is 1xx4-1

Q: 2020 at 1T:36 PM Find the derivative of the following function using the rules of differentiation:…

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

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Q: 7) Find the derivative of each function a) y=x'e

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Q: 25. y = V r² +1

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Q: Use the Chain Rule to find the derivative of the following functions.

A: To find the derivative of y=1-ex4 using the chain rule. Solution: Chain rule of differentiation…

Q: -X sinh 1+x

A: This is the hyperbolic function.  We will find the derivative of the problem.  We know,  d/dx…

Q: Given the function y=x2cos3x. Find the third-order derivative.

A: To Determine: Third derivative of given function:

Q: 2. Calculate the derivative by first principles for the following: i. f(x)=Vx,

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: 2: Find the derivatives of the following function with respect to x. i) x = sin h' y

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Q: x+D メD

A: To Determine: we have a function then find the derivative Given: we have a function Z(x)=Hxx-D2+x2…

Q: Y = c 2.

A: The product rule of differentiation is given by the following expression:- ddx(uv)=udvdx+vdudx The…

Q: 1. Find the derivative of each function. i] f(x) = e*=*

A: Here f(x)=ex2-πxddxf(x)=ddxex2-πx=ex2-πx ddxx2-πx=ex2-πx 2x-πHence, ddxex2-πx=ex2-πx 2x-π

Q: Evaluate the derivatives of the following functions.

A: fy=tan-12y2-4

Q: - 17x Find the derivative of y with respect to x if y = e 口

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Q: Find the indicated derivative for the following function. where 4xy-z= 3 %3D 立一次

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Q: For what values of x is the derivative of the function Vx2+ Vx equal to 1?

A: Given,           The derivative of x23+x3 equal to 1.

Q: Q3\ Find the derivative of the following f(x) = %3D x-1

A: Derivative.

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

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Q: Solve for the derivative of the following function: v=1/t^3

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Q: Find derivatives of the function defined as follows.

A: Consider the given function as y=ex+e-xx

Q: Q /Choose the appropriate derivative for this function y = (x + 1)²¯*

A: Given equation:y = (x+1)2-x required:1) dydxSol:y = (x+1)2-x →taking logarithms on both sides we…

Q: Differentiate the following function:P(t)=11Ce^t,where C is a constant.Enter the derivative here:

A: We have to find derivative of f(t) ,where f(t) is given by

Q: Find the derivative of the following functions.

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Q: 3e* Find the first derivative: f(x) = x (x+1)

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Q: The given problem needs the fırst derivative. Find the first derivative. a² x Y= a2 + x

A: Here we have to find the first derivative of the function. dxndx= n xn-1

Q: What is the Derivative of the following function; y = e-xsinh x

A: Our Aim is to find the derivative of y=e-x sinh(x)-(i)

Q: 13. Find the derivative of the following functions and simplify the answer 10z + Va y = (a) 8x2-7 et…

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Q: Find the derivative of the function.

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Q: -1 y = cos –6•x³ - 6·x³

A: Given function is: y=cos-1-6x3 Then we get, cos y=-6x3

Q: 2x+5 e. y = 3x-2 f. y = (2x? + 2)(x² + 3)

A: Derivative of the function y=f(x) is the measure of rate of change of y with respect to x.…

Q: For the following function, find the derivative with respect to the variable 0. - 1 y = (1 - 20)…

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Q: 11. Find the derivative of the following function. y=2-6e a y'=54r°e b. y' = -54x°e- c. y' = 6e d.…

A: Given function is

Q: 5. y = xArctanx - In V1+x

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Q: I need the third derivative for all of the following functions: f(x)= + 1 + x

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find the derivative. F'(x) if F(x) = (e×" + 1) °

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Q: Q1/ Find the derivative of the following functions: where x>0,x #1 a- y = x** x√√2x+1 b- y = exsin…

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Q: 4. Find the derivative of the following function. y = x*

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Q: с. у %3D (3х — 1)(2х + 5) d. g (x) — х3 — зЗx2 + 2

A: Product rule of differentiation: ddxf(x)g(x)=f(x)ddxg(x)+g(x)ddxf(x) Power rule of differentiation:…

Q: Find the derivative of the following functions. Write your answer on a separate sheet of paper. 1. y…

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Q: Find derivatives of the functions defined as follows: y = e-2x

A: The derivative of the function ex is ddxex=ex. Find the derivative of the function y=e-2x using…

Q: Find the derivative of the following function. y csc 20-2 de

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Q: se the definition of the derivative to find the derivative of: f(t) = -4 – 2t. (t) =

A: Topic:- derivatives

Q: Find the derivative of the function

A: Given,

Q: f(x) = e²x cos(x)

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Q: y = (x² + x + 1)²

A: