Find the derivative of each function. f(z) = + z? 2. 13 f' (z) =

Q: Calculate the derivative of the following functions.

A: The derivative of a function is the rate of change of the function. The derivative at a point on the…

Q: B) Using the definition of derivative, find -if y = dx 1-x

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Q: Evaluate the derivative of the function at the given point. 1 y = 7t + 1 = - 1

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Q: Find the derivative of y = 7x°e + 5x? y': Submit Question

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Q: r(s) = V2x² + 3x – 1 %3D

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Q: Calculate the derivative of the following functions.

A: Given function is y=cos47x3. To find the derivative of the given function. Solution: Power rule of…

Q: Find the derivative of the following function y = xsinx

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Q: Find the derivative of the function ?

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Q: Find the derivative of the function y = etan(e) y' =

A: Explanation of the answer is as follows

Q: b)Find the derivative of the function by using the derivative definition? ds if s dt 2t + 1

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Q: Find the derivative of the function.

A: The given function is y=xx4+4.

Q: Calculate the derivative of the following functions

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Q: 2. If u3 = a³t, find· d?u where a is a constant. dt2

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Q: Find the derivative of * T (x) = Va + 9 Væ? 2.

A: Given T(x)=x+9x73-2x25…

Q: Find the derivative of f(x) = e*?+1

A: Given, f(x)=ex2+1

Q: d. y = ار نے

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Q: Find the derivative of the function. s = t6 et

A: To find the derivative of the function use the product rule. Let's take an example: Let y=uv and u…

Q: a) Find the derivative of the following function 3) y= 4sin 1+ vĩ,

A: Chain rule of differentiation: If F(x) is a composite function f(g(x)) and if F(x) is…

Q: Find the derivative of the function = ex? y =

A: y=ex7

Q: Calculate the derivative of the following functions

A: Given: y=x4+cos2x5 for finding derivative of given function, we will use chain rule

Q: Find the derivative of the function. y = (x + 1)2ex

A: The given function is y=x+12ex

Q: Find the derivative of the following: y = 3/x. O y' = 3 O y' = VI

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Q: Find the derivative of the function y = In(5e – 9xe "). y = ||

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Q: Find the derivative of the following functions. (Ans Find /dx If y r+3x-7 and r 2t +1

A: Given,  y = x2+3x-7    and  x = 2t+1 We have to find dydx

Q: Determine the first derivative of the ff. function x? + 1) y = V1 + In x

A: y=x2+11+lnx

Q: Calculate the derivative of the following functions. y = csc (t2 + t)

A: Given function is y=csc(t2-t)

Q: Evaluate the derivative of the function y = 2tan ",²+In (e +e).

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Q: Find the derivative of the given function. dx %3D

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Q: Find the derivative of the following using the three-step rule Зх — 1 1. y= 2х+5 2. y=Va? +x?

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Q: Find the derivative of the function. y (x2 + 3) coth y' =

A: The given function,y=x2+3cothx3

Q: Calculate the derivative of the following functions

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Q: Find the derivative of the function. f(x) : et? + 9

A: This question is about finding derivative of function.

Q: (væ) + log, (5x² – 3) + ex² Find the derivative of y = arc tan

A: Explanation of the solution is given below...

Q: Find the derivative of the function y = e5x

A: To find the derivative of the function y=e5x

Q: Find the given flx), + 2x derivative of function. %3D a+x

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

A: A detailed solution is given below.

Q: Calculate the derivative of the following function. y = (3x+ 4) dx

A: y = (3x+4)3  we use chain rule to solve the problem

Q: The derivative of the function y = e¯- is

A: Finding the derivative of the following function:

Q: Calculate the derivative of the following functions. y = etan t

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Q: B) Using the definition of derivative, find dx

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Q: Calculate the derivative of the following: y = Vx + 4

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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: Find the derivative of the function

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Q: The first derivative of the given function is y = sec?. %3D 2х + 1

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Q: 8. Find the derivative of the function (t)= 3sin(arccost)

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Q: Find the derivative of the function

A: Given,

Q: Find the derivative of the function y = csch−1 (1 − x)

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Q: Calculate the derivative of the following functions. y = sec (3x + 1)

A: Given:  y = sec (3x + 1)

Q: find the derivative of y with respect to the givenindependent variable.

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Q: Find the derivative of the function. h(x) = ex + 5

A: First we will differentiate exponential part then we eill differentiate algebraic part