How do you find the derivative of f(x)=5/1-8x using the definition of a derivative?

Q: What is the derivative of the function  x - 7x(x^1/2) ——————      x^1/2 Use quotient rule and…

A: The quotient rule of differentiation is as shown on the whiteboard.

Q: Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

A: Given f(x)=(1+2x2)(x-x2) By Product rule,…

Q: Find the derivative and second derivative of g(x)=x(100-x^2)^(1/2).

A: Since the placement of the radical sign is not clear whether it includes x or no, the question has…

Q: derivative of the function f (x) = xsec-1 (2x + 1)

A:

Q: Find the derivative of 1 f(x) || 1+ Vx using the definition of derivative. State the domain of the…

A: We have to find the derivative of the given function by using the definition of derivative.

Q: What is the derivative of f(x)=−3? Do not include "f′(x)=" in your answer. For example, if you found…

A: Formula:The derivative of a constant function is zero.

Q: derivative of f(x)= 1/(x^2+5) is

A: Given,          fx=1x2+5

Q: what is the derivative of  (x+7)/(x-7) ? and what is the second derivative?

A:

Q: 9. Use the definition of derivative to find the derivative of f(x) = x² – 3x.

A: We need to evaluate the derivative of the function f(x) using definition of the following function…

Q: 1 Find the derivative of f(x) = 2x + 3

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Q: Find the derivative of f(x)= √8-x

A: We can solve using chain rule of derivative in order to solve the given problem.

Q: Find the derivative of the function using the definition of derivative. 1 g(x) 8 + Vx g'(x) =

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Q: Find the derivative of the function. y- tan-(V-8

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

Q: 8. Find f'(x) where f(x) = 4x² - 3x + 11.

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Q: Find the derivative of function (x+2)² (x – 1)3* f(x) -

A: f(x) = x+22x-13f'(x) = x-13×2x-2-x+223(x-1)2x-16f'(x) = x-12x+22x-1-3x+2x-14f'(x) = x+22x-2-3x-6x-14

Q: How do you find the derivative of a constant multiplied by afunction?

A: If f(x) is any function and let y=cf(x)            function f(x) multiplyed with a constant, c is…

Q: Using the definition of derivative, find the derivative of f(x)= /3-x

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Q: How do you find the derivative of (tan(x)-4)/sec(x)?

A: Use the quotient rule to find the derivative of (tan(x) – 4)/sec(x) as follows.

Q: How do you find the derivative of f(x)= -2(3x^2-1)^3

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Q: How do I find the derivative of g(x)=sinxcos(5x2)?

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Q: Find the derivative of the function f(x)=2x−73x−2 at x=2

A: topic - derivative of a function

Q: How do you find the derivative of f(x) = 5 - |x-5| ?

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Q: 23: USE THE DEFINITION OF THE DERIVATIVE to find the derivative: :9(x)=3

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Q: 3 Determine the 3rd derivative of the function f(x) = 2√√x-x³

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Q: How do you find the derivative of f(x)= sec(x)tan(x)?

A: Some properties of derivatives:Following are some of general derivatives and derivatives of…

Q: Find second derivative f(x) = 1/X2-9

A: Given that fx = 1x2-9To find :second dedivative of fx

Q: What is the second derivative of f(x)=−x4? at the point x=−3 Do not include "f′′(x)=" in your…

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Q: 1 Find the derivative of f(x) 2x + 3

A: Since we have to find the derivative of f(x)=12x+33, so ddx(f(x))=ddx1(3+2x)3 -(i)By using the chain…

Q: Help to find the derivative of f(x)=1/3x.

A: The given function is fx=13x

Q: How do you find the derivative of the quotient of two functionsthat are differentiable at a point?

A: Given: Let f and g be two differentiable function at point x.

Q: . What process can you use to find the derivative of f(x) g(x) ? Illustrate by showing how to take…

A: We have to find

Q: Using the definition of the derivative, differentiate the function f(x)=x2+2x−2.

A: To find the derivative of the function f(x)=x2+2x-2 By the limit definition of the derivative,  The…

Q: How do you find the derivative of the product of two functionsthat are differentiable at a point?

A: Consider the two functions f(x) and g(x). f(x)·g(x)'=f'(x)g(x)+g'(x)f(x). Here f(x)·g(x)' represents…

Q: Please explain how to find the fifteenth derivative of f(x)=2x^15-3^x, f^15(x

A: Topic - Derivative of a function

Q: ind the derivative of (a) f(x) = x^4 + 2x^-2 + 6e^x

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Q: How do you find the derivative of h(x)=squared 1-x3

A: Find the derivative of the of given functions as follows.The given function is h(x) = (1–x3)2.

Q: Find the fourth derivative of f(x)=3-1.

A: To find the fourth derivative of the function: f(x)=3x-1 Now that the nth derivative of the function…

Q: Explain how to find the derivative of the function f(x) = cxn .

A: we have to explain how to find the derivative of the given function f(x)=cxn

Q: Find the second derivative of f(x)=(x^2-3)/x

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Q: 5+x f(x) = 3—х

A: Solve the following

Q: What is the derivative of f( x = zi; = x 3 ? Or(-) = 3 F(=) f'( x Of(2) = 3= F(=) OF(2) = }ei OF(-)…

A: To find the derivative of f(x)=x2/3

Q: How do you find the derivative of function y=x^2-2radicalx/x

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Q: 27. Find the derivative of f(x) = (1 + 2x²)(x – x²) in two ways: by using the Product Rule and by…

A: Derivative of the function f(x) is given by

Q: #12: use the definition of the derivative to calculate the derivative of f(x)=9x^2

A: Definition of derivative for a function f(x) is given by f'(x)=limh→0fx+h-fxh

Q: ind the derivative of f(x)= (x^3)/(x^3-5x+10)

A: Given:    f(x) = x3x3-5x+10

Q: how do i find the derivative of this but not simplified  y= (x^2+x+6)(x^1/3-2x^1/2+1)

A: To determine the derivative of the function.

Q: What do you look for when you need to match the graph of a function with the graph of its…

A: Observe the behavior of graph as the value of x increases.

Q: What is the derivative of the attached function for x= -8   -1 -1/2 1 2

A: