Use the rule of differentiation to find the derivative of the given functions 1. y = (4x – 1)5 2. f(x) = Võx² +1 3. g(x) = (

Q: A function is given as x - 6y = 5– x. Calculate the derivative of y with respect to r with two…

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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 the function f(z) = (3x +1)In(4x+3) %3D and then evaluate it at x = 0. f' (0)…

A: Given : f(x)=(3x+1)ln(4x+3)

Q: Find the first derivative of y with respect to x (y') of the given function using rules for…

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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 the functionf(x) = Vx – 2. Provide your answer below: f'(x) =O

A: We have to find derivative

Q: 1. Use the definition of the derivative to find the derivative of the following functions. 1 (b)…

A: use definition of derivative to find the derivative of the following functions a) fx=x+2 it is known…

Q: Suppose that f'(0) = 2. Find the derivative of the function (e2z – 2x)f(3x) at x = 0.

A: Given that f'(0)=2.Our Aim is to find the derivative of the function (e2x-2x)f(3x)-(i) at x=0.

Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. f(x) = ∣x…

A: Concept: Derivative is the amount by which function is changing at one point. Given:

Q: Eョ2 T -(X子 ノ = (X)J fi(3)

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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: Find the derivative of the function 3 f(x) = V (x² – 2)' at x = -1. f'(- 1) =

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Q: Use the alternative form of the derivative to find the derivative at x=c (If it exists)…

A: Given function is fx=x3+3x2+9. We know that, f'x=limx→cfx-fcx-c Given c=-3 Therefore,…

Q: 1 y = V2x+5 /2х+5

A: By see this solution

Q: Compute the derivative of the following function. 1(x) = 3e 3x f'X)%3D

A: Topic - differentiation

Q: 2. For y = 6x*V4 + x, find y(2).

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Q: Use the alternative form of the derivative to find the derivative at x = c  (if it exists). f(x) =…

A: Definition used -           Alternative form of derivative -…

Q: Find the second derivative of the following function at x = 2 y = (x +) 2 G+x)

A: Given function is y=x+1x2

Q: Find the derivative of the following function with respect to x x = sinh2y

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Q: Find the derivative of the function y=2x+12x−1 at x=1.

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Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. g(x) = 2x2…

A: Given function is gx=2x2-3x. We know that, f'x=limx→cfx-fcx-c Using the above formula of derivative,…

Q: Why is the derivative of f(x) = e^2, 0? Would e to any power be 0?

A: Given f(x)=e2As the given function is in terms of x and the given function e2 is a constant

Q: Find the derivative of function defined as follows.

A: Derivative of the function can be found with the help of differentiation of the function.…

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). h(x)=…

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Q: Use the rules for derivatives to find the derivative of function defined as follows.

A: The given function is: y=ln2x-1x+3 To find the derivative of this function, apply the quotient rule,…

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

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Q: Find the derivative of the following functions by applying "Delta Method". Show your complete…

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Q: Use the alternative form of the derivative to find the derivative at x = c (if It exists). f(x) = x2…

A: Given f(x)=x2-2 c=5

Q: B. By using the definition of the derivative, find the for: dx 1- f(x) = V %3D 2- f(x) = x -!

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Q: Compute for the derivative of the function below for x = 1. f(x) = 2xe

A: Solution: dydxx=1=2xex

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 following using the three-step rule Зх-1 1. у3 2x +5 2. y=Va² +x?

A: Using three step rule.

Q: Find the derivative of the function y=(x−1)(x−2)(x−3) at x=0.

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Q: Find the derivative of the function using the Power Rule for Functions. y = (x² + 6)²(4x³ – 1)3 dy…

A: Y'= ?

Q: Calculate the derivative of the function y(x) given by the equation x2+2xy+2y2=1 under condition…

A: For y=1 we find x

Q: Use the rules of differentiation to find the derivative of the function.                y = t2 − 3t…

A: Differentiation: y=t2-3t+1Derivative of the function we need to find out.We knowddx(xn)=n.xn-1

Q: Find the derivative of the following using the three-step rule Зх-1 1. у3D 2x+5 2. y=Va² +x²

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: Find the derivative of y with respect to x. 1. x² + 4y² = 4ay

A: Given:   To find: Derivative of y w.r.t. x:

Q: Use the Chain rule with other differentiation rules to find the derivative of the following…

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Q: Find the derivative of the function f(x) = V (x² – 2)* at x = 1.

A: Given f(x)=(x2-2)23      ⇒f(x)=x2-2213⇒f(x)=x2-223

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

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Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. f(x) = (x…

A: Given function is fx=x-623. To find the derivaitve of the function at x=c. Differentiating with…

Q: 1. Use the definition of derivative to find f'(1) 2r2 b) f(x) = Vx

A: Derivative of the function using definition

Q: y = V5х+7

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Q: Find the derivative of the following function. f(z) = (4z+ e -)*

A: As we know that ddxex=ex [ common derivative]ddxe-z2 =-2e-z2 .z

Q: If g(z) = 6z-2), then its derivative is given by:

A: For simplification, take natural logarithm on both sides of the equation gx=6x2-2 and apply the…

Q: Find the derivative of the function: f(x) = Vx + Vx + 1 1 +

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Q: Use the alternative form of the derivative to find the derivative at x = c, if it exists. f(x) =…

A: The alternate form refers here the definition of derivative.