Find the inverse function of f^-1 of the function. F(x) = 5sinx-7

Q: Differentiate the function. f(x) = 5x ln(3x) − 5x

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Q: Explain how the first derivative of a function determines where the function is increasing and…

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Q: What is an instance where a function doesn’t have the same domain as its derivative? Give an example…

A: The domain of a function f(x) is the set of all the x-values for which the given function is…

Q: Find a rule for the derivative of the product of four functions f,g,h, and k. Use your result from…

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Q: derivative of 7x^4sqrt(x)+3/(x^3sqrt(x))

A: Let's call the given expression as y. Also recall the rule of exponents: Pa x Pb = Pa+bPlease see…

Q: How do you find the fifth derivative of a function?

A: To find the derivative we differentiate the function once.  To find the second derivative we…

Q: Explain how to graph a function given the graph of the derivative function. Note that the answer is…

A: Perhaps the most obvious are the extreme. Because we know that the tangent line is always horizontal…

Q: Explain how to use the product and quotient rule for differentiation.  Give one example that uses…

A: The product rule of derivative states that the derivative of a product of two functions is the sum…

Q: Find the third derivative of the function f(x) = (x3 - 8)4 please provide detailed steps and the…

A: Given that: f(x)=(x3-8)4

Q: How to use a graph of a derivative to determine the parent function.

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Q: HOW DO YOU FIND THE DERIVATIVE

A: Given an equation of y in terms of x as shown below.Here we need to find the derivative of y with…

Q: Derivative of 12x^3-96

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Q: why setting the derivative of a function equal to zero allows us to find the maximum or minimum…

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Q: derivative of √x²-4 - 2arcsex x/2, 2<x<4

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Q: Differentiate: f(x)=ln(x5−5/x3) f'(x)=

A: We have to find

Q: If the function f has a differentiable inverse function, the derivative of the inverse function f −…

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Q: Explain how to graph the derivative of a function given the graph of the function.

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Give 5 examples of derivative of inverse hyperbolic function with solution

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Q: differentiate a function by logarithmic differentiation

A: take natural logarithm to both sides

Q: Differentiate the function y=sinx2+3x3.

A: Given: y=sinx2+3x3 we know that ddxsinx=cosxddxxn=nxn-1

Q: Derivative of f(x)= 4x/5x^2-1

A: We can find the derivative as below.

Q: Differentiate the function. f(x) = 9x ln(6x) − 9x

A: Explanation and solutions is given below....

Q: second derivative of f(x)=7(5-9x)4

A: Second derivative

Q: eliminate the constant using any methods (by isolation of constants or by differentiation and…

A: Given: xsiny - ycosx = c We are using the method of differentiation to eliminate the arbitrary…

Q: How do to know which rule to use in differentiation?

A: How do to know which rule to use in differentiation?

Q: Discuss the solution on how to get the derivative of the function

A: This question is related to differentiation, We will solve it using given information.

Q: Find the slope of the line tangent to the graph of the function defined by f(x) = 3x2 – 4 at (1,…

A: Solution:Given        f(x)=3x2-4   at (1,-2)To find:Slope of the line tangent to the graph The…

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

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Q: Evaluate and Solve the function using the product and quotient rule of differentiation. Show your…

A: Here we have to use the concept of derivatives.

Q: Find the derivative of the inverse of the given function at the specified point on the graph of the…

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Q: Find the slope of the line tangent to the graph of the function defined by f(x) = x2 – 3x + 4 at…

A: It is given that, f(x)=x2-3x+4   Slope of any function or tangent of any function is defined as the…

Q: How do I find the derivative of (-x^2+48)/((x^2+48)^2)

A: Given:

Q: How do you use the second derivative test to analyze concavity of a function?

A: We know that, If the second derivative of the function f(x) is defined on an interval (a,b) and…

Q: derivative of 2x^2

A: Given, To evaluate 'derivative of 2x^2

Q: derivative of f(x)=2x^15-3^x, f^15(

A: We will find the required.

Q: Find the derivative

A: Given function - y = 10x5-2x3+4x-9x-10y = 10x5-2x-3+4x-9x12-10x0Using differentiation formula -…

Q: Sketch a graph of a function whose derivative is always negative. Explain how you found the answer.

A: Sketch a graph of a function whose derivative is always negative. Explain how you found the answer.

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: How do we know when to use implicit differentiation?

A: Implicit differentiation is the procedure of differentiating an implicit equation with respect to…

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

A: Given function is f(x)=sec-17x

Q: 2- 3x-I

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Q: olve for the derivative of the function using chain rule.  2. f(x)=4√ -3x4-2

A: 2)

Q: derivative of 2x^5+5x^3+6=

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

Q: Find an equation of the line tangent to the graph of f(x) = 3– 7x at (-4,- 109). The equation of the…

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Q: Find the derivative: 1. f(x) = √(-2x2+1)

A: Given fx=-2x2+1  Or you can write it as fx=1-2x2

Q: find  the derivative of f(x)=4x3ex

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Q: Find the derivative of f(x)=-9sqrtx+1/x^10. Type your answer without fractional or negative…

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Q: Estimate the slope of the tangent to the function f(x) = (x + 1)^2(x - 4) at the point of abscissa…

A: Introduction: A tangent line is one that intersects a curve at the so-called point of tangency.…

Q: Calculate the derivative of the function f (x) =-5x + 2 and plot the function and its derivative on…

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