Use the Quotient Rule to find the derivative of the function.                                    f(x) = x /(x − 5)

Q: Using the definition of the derivative, find the derivative of the function y=1x.

A: Given function

Q: Find the derivative of the function by definition 1 1- f(x) = 2x +3

A: Given f(x) = 12x+3 Consider f'(x) = limh→0f(x+h)-f(x)h= limh→012(x+h)+3-12x+3h=…

Q: Use the Quotient Rule to find the derivative of the function. f(x) = x/x-2   f '(x) =

A: Given function

Q: Find derivative of the function f(x)=x power3 -1/x-1

A: By applying the chain rule and quotient rule we find the derivative of a function.

Q: Find the derivative of the function by using the Quotient Rule. Simplify your answer. x2. - 4x + 3…

A:

Q: Use the Quotient Rule to find the derivative of the function.                           h(x) =…

A:

Q: Using four-step rule, find the derivative of the following functions 1.y = (3 – 5x)*

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Q1. Find the derivative of f(x) = 2x -- by using the definition of derivative.

A:

Q: Find the derivative of the function. X-1

A:

Q: Find the derivative of the function f(x) = 4x

A: The given function is f(x) = 4x Formula used ddx(ax)=axln(a)

Q: Use the General Power Rule to find the derivative of the function. g(x) = v6- 7x

A:

Q: Use the Quotient Rule to calculate the derivative. f(x) = x/ (x -2)

A: Given function is fx=xx-2. To calculate the derivative of the given function using quotient rule.…

Q: Find the derivative of the function. f(x) = 8x

A:

Q: Take the derivative f(x) = x3cosx

A: Given :            fx=x3cosx

Q: Use derivative rules to find the derivative of h(x) = 3f(x) – 29(x) – x² f (x) + g(z)

A:

Q: Find the derivative of the function using the definition of derivative. f(x) = rx + q

A:

Q: Find the derivative of the function.

A:

Q: Use the Quotient Rule to find the derivative of the function. h(x) =  x2 x + 7 h'(x) =

A: Consider the provided function:

Q: FInd the derivative.

A: Find derivative of

Q: Find the derivative of f(x) = xcosx. 7.

A: Find the derivative of the given function.

Q: Find the derivative of g(x) =

A:

Q: Use the Quotient Rule to find the derivative of the function. f(x) X - 8. f'(x) =

A:

Q: Find the derivative of the function using the definition of derivative. 1 f(x) x² - 36

A:

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function.

A: Here we have;  f(x)=x2+x-1x2-1 differentiate with respect to x

Q: Use the Quotient Rule to calculate the derivative. f (x) = (x+4) / (x2 + x + 1)

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Use the Quotient Rule to find the derivative of the function. x2 h(x) = %3D X + 2 h'(x) =

A:

Q: Using the definition of derivative, find the derivative of f(x) = x² + 3.

A: As per our guidelines, we are supposed to answer?️ only one question.   B2(a). Find the derivative…

Q: Use the Quotient Rule to find the derivative of the function. 2x 9. - g(x) x2 g'(x) =

A:

Q: Use the Quotient Rule to find the derivative of the function.                                f(x) =…

A:

Q: Use the General Power Rule to find the derivative of the function. g(x) = V2 – 7x g'(x) = %3D

A:

Q: Use the Quotient Rule to find the derivative of the function. 2х — 3 g(x) x - 1 g'(x) = %3D

A: Given that gx=2x-3x2-1

Q: Use the Quotient Rule to find the derivative of the function. f(x) • X- 9 f'(x) =

A:

Q: Use the Quotient Rule to find the derivative of the function. 3x + 2 f(x) 4x - 5 f'(x) =

A: We have to find the derivative

Q: Use the Quotient Rule to find the derivative of the function. x2 h(x) %D x + 4 h'(x) =

A:

Q: Using the definition of derivative, find the derivative of f(x)= x² +3.

A: (As per bartleby guidelines, for multiple questions asked, only first one will be solved. Please…

Q: Use the General Power Rule to find the derivative of the function. g(x) = V7- Sx

A:

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function y = −x2tan x

A: Use the Product Rule or the Quotient Rule to find the derivative of the function y=-x2tan x

Q: Using the definition of derivative, find the derivative of f(z) = x + 5x + 5. %3D

A:

Q: Find the derivative of the functionf(x) = (2 – x*)

A:

Q: Using the definition of the derivative, find f' (x) if f (x) = 3x²

A: The differentiation is a process of finding the rate of change of one variable with respect to…

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: Use the Quotient Rule to find the derivative of the function.…

A: Given:          g(x)=sinxx2

Q: Find the derivative of f(x) = x3 + 2x, use the definition of the derivative

A:

Q: '(a): Using the definition of derivative, find the derivative of f(x) = x² + 1.

A: The given equation is: fx = x2 + 1 The derivative of this equation is found as follows:

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 derivative. f(x) = 4cosx + √x

A: Given function is fx=4cosx+x. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating…

Q: Find the derivative of the function. g(x) = 4eVx g'(x) =

A:

Q: Use the general power rule to find the derivative of the function. f(x) = (8x-x2)3 f'(x) =…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: