Use the rules of differentiation to find the derivative of the function             h(x) = 6√x + 3 3√ x

Q: Use the definition of the derivative to find f' (x) for f (x) = v2x + 1.

A: The derivative of f(x)=2x+1 is to be found using the definition of derivative. The derivative of…

Q: 9. f(x) = /5x + 1 %3D

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Q: Use the definition of the derivative to differentiate the following function.    f(x) =1/2x^2+ 5.…

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Q: (c) F(x) 3 (х + х-1)3

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Q: What is the derivative of f(x) = 8x-4 with respect to x?

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Q: Use the rules of differentiation to find the derivative of the function. y = 3/x7

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Q: For the given function f(x), determine the equation of the tangent line at the point P(1,1) f(x) =…

A: Equation of tangent line

Q: Use the rules of differentiation to find the derivative of the function.              g(x) = 6x + 3

A: Given: The function: g(x) = 6x + 3

Q: Use the rules of differentiation to find the derivative of the function.

A: Given :              The function is f(x) = x + 11 To find :              The derivative of the…

Q: Find the derivative of the following using the differentiation rules. x3 +6√x-7x+3 f(x) =

A: In this question, we need to find the derivative of the given function.

Q: use the definition of the derivative to find f'(x). f(x)=1/x2

A: We need to evaluate the derivative of the following function f(x) = 1x2

Q: Use the rules of differentiation to find the derivative of the function.   h(x)=4√x+55√x

A: Given Data: Function: fx=4x+55x The power rule of the derivative is, ddxfxn=nfxn-1 ......1

Q: find the derivative of f(x) = x2 – 3x + 4, and then 3) evaluate f '(2)

A: Given : f(x) = x² - 3x + 4

Q: Find the derivative of f(x) = log, (-6x- 6x+ 5) at the point x = 2. %3D Provide your answer below:…

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Q: Use the rules of differentiation to find the derivative of the function.             g(x) = x2 + 4x3

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Q: Use formulas (1) and (2) and the power rule to find the derivatives of f (x) = 1/x3

A: Definition used -                     1am=a-m            Power rule of derivative -…

Q: Use the rules of differentiation to find the derivative of the function              g(s) = 3s5 −…

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Q: Use the rules of differentiation to find the derivative of the function. g(x) = 10x – 13 g'(x) =

A: Differentiate both sides with respect to x

Q: Find the derivative of the function f(x) = 9x2 - 15x by the de f(r + h) - f(x) f'(x) = lim h>0

A: f(x)=9x2-15x

Q: Use the rules of differentiation to find the derivative of the function

A: First note the following rule of differentiation (f(x)+g(x))'=f'(x)+g'(x). Another rule that will be…

Q: Use the rules of differentiation to find the derivative of the function f(t) = -6t2 + 3t - 4 f '(t):

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Q: Use the definition of the derivative to determine the derivative of the following function:  f(x)…

A: Solution by definition of derivative :-

Q: q(x) = (x5- 2x + 4)(3x?- x-6), P(-1,1) %3D

A: Given function is qx=x5-2x+43x2-x-6. To find the derivative of the function at point -1,1. Solution:…

Q: Use the rules of differentiation to find the derivative of the function             g(t) = 2/3t2

A: Given,           g( t ) = 23t2

Q: Use the definition of the derivative to find the derivative of the function f(x) = v2x + 1, then…

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Q: Use the definition of the derivative to differentiate the following function. 1 f(x) = x² – 2 -

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Q: Find the indicated derivative and simplify. 21x f'(x) for f(x) = x2 - 2 f'(x) =

A: f(x)=21x3x2-2 Note:   Multiple questions are given we are answer with only one question.

Q: Find the first derivative with respect to the domain variable for the following functions. 4. f(x) =…

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Q: Find the derivative of the function by using the rules of differentiation. f(t) = 7t2 + √t

A: Rules of Differentiation that are used in the given problem.

Q: Use the rules of differentiation to find the derivative of the function.

A: Given function is fx=-9. Constant rule: ddxc=0

Q: Find the derivative of the following function. 3x +5 f(x) = x2 + 5x + 5 f'(x) =

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Q: Consider the function f(x)= x^2−3x.   Compute the derivative using the definition

A: In order to solve this question we will use the concept of first principle which defines derivative.

Q: Use the rules of differentiation to find the derivative of the function g(s)=3s5-2s4

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Q: Use the definition of the derivative to find f(x) where f(x)=DV3x+1

A: f(x)=3x+1

Q: Use the rules of differentiation to find the derivative of the function. f(x) = -496 f '(x) =

A: The solution of the problem is given in the next step.

Q: Use the rule of differentiation to find the derivative of the given functions 1. y = (4x – 1)5 2.…

A: 1. y=(4x-1)5, Taking derivative with respect to x, ⇒dydx=5(4x-1)4×ddx(4x-1)         =5(4x-1)4×4…

Q: Find the derivative and simplify A. f(x) = 2 sin−1(4x + 5) B. f(x) = x3tan−1(x2)

A: Given:- A.   f(x) = 2 sin-1 (4x + 5)   B.    f(x) = x3 tan-1 (x2)  To find :- Derivative of given…

Q: Find the derivative of the function and evaluate f'(x) at the given value of x. f(x)=(3x+1)/(3x-1)…

A: f'(X)= -9/(3x-1)2 f'(3)=-9/64

Q: 3 1 27. y= 2x2 +4.x² – 5 +4x² – 5

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Q: Find the derivative of the function by using the rules of differentiation. f(t) = 3t2 + / f'(t) =

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Q: Use the rules of differentiation to find the derivative of the function              f(x) = x1/2 −…

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Q: Use the rules of differentiation to find the derivative of the function. .            f(t) = −3t2 +…

A: Given : ft = -3t2+2t-4

Q: Use the rules of differentiation to find the derivative of the function             h(x) = 8/5x4

A: Given hx=85x4

Q: Use the rules of differentiation to find the derivative of the function f(t) = /6

A: Known fact: ddxkx=k.

Q: nd the derivative of th

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Q: Use the rules of differentiation to find the derivative of the function. f(x) = −9

A: Given, f(x) = −9   To evaluate f'(x)=?

Q: Find the derivative of the function f by using the rules of differentiation. f(x) = 3x4 - 3x7/2 + 7…

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