Question

Finding a Derivative In Exercises 13–32, find

the derivative of the function.

h(s)=-2 \sqrt{5 s^{2}+3}

Expert Solution

Calculus: Early Transcendentals

8th Edition

ISBN: 9781285741550

Author: James Stewart

Publisher: Cengage Learning

Not helpful? See similar books

Calculus: Early Transcendentals

Functions And Models. 1RCC

Similar questions

To this solution

Find answers to questions asked by students like you.

Q: Evaluating a Derivative In Exercises 65–72, find and evaluate the derivative of the function at the…

A: remember this:…

Q: Finding a Derivative In Exercises 7–26, usethe rules of differentiation to find the derivative ofthe…

A: Differentiation is a method that used to find the rate of change of a function . Let one variable be…

Q: Finding a Derivative In Exercises 7–26, usethe rules of differentiation to find the derivative ofthe…

A: Given: 9. y=x7

Q: Finding a Derivative In Exercises 7–26, usethe rules of differentiation to find the derivative ofthe…

A: Given function: y=x12

Q: Finding a Derivative In Exercises 13–32, findthe derivative of the function. y=\frac{1}{\sqrt{3…

A: Our Aim is to find the derivative of the following function given below:-y=13x+5-(i)

Q: Finding a Derivative In Exercises 13–32, findthe derivative of the function. y=\frac{1}{\sqrt{3…

A: Given: y=13x+5

Q: Finding a Second Derivative In Exercises 89–92, find thesecond derivative of the function.89. y =…

A: given, y=8x+53

Q: Constant Rule What is the derivative of a constant function?

A: Let f(x)=a be constant function

Q: Horizontal Tangent Line In Exercises 63–70,determine the point(s) (if any) at which the graphof the…

A: Tangent line is horizontal if the slope of the function is zero, and the line is horizontal with…

Q: Horizontal Tangent Line In Exercises 63–70,determine the point(s) (if any) at which the graphof the…

A: given y=x+4exTangent of the given functiony'=ddxx+4ex=1+4exnow for the tangent line to be horizotal…

Q: State the first-derivative rule. The second-derivative rule.

A: Click to see the answer

A: y=x7

Q: Can I get step by step helpn with this problem?

A: Given function is

Q: Can I get step by step helpn with this problem?

A: Click to see the answer

Q: Can I get step by step helpn with this problem?

A: The given expression is as below

Q: Derivative Calculations In Exercises 1–12, find the first and second derivatives.

A: We use the power rule to find the first derivative. Power rule: d/dx(x^n)= n*x^(n-1)

Q: Can I get step by step helpn with this problem?

A: Given:

Q: determine a function by being given the function’s first derivative and an initial condition for the…

A: Click to see the answer

Q: Use second fundamental theorem of calculus. Find the derivative F'(x) of the function.

A: Click to see the answer

Q: Finding a Derivative In Exercises 5–26, finddydx by implicit differentiation. 5. x2 + y2 = 9

A: Implicit differentiation: Implicit differentiation is the procedure of differentiating an…

Q: Finding a Derivative In Exercises 17–42, findthe derivative of the function. \text { 17. }…

A: Given function is fx=sin-1x-1. To find derivative of the function. Solution: Chain rule of…

Q: Finding a Derivative In Exercises 13–32, findthe derivative of the function.…

A: Click to see the answer

Q: Finding a Derivative In Exercises 13–32, findthe derivative of the function. y = 5(2 − x3)4

A: We have to find the derivative using the chain rule of differentiation . According to the chain rule…

Q: Implicit Differentiation In your own words, state the guidelines for implicit differentiation.

A: Implicit differentiation Example- Implicit differentiate: xy=1 Let y be a dependent variable on x…

A: To find: The derivative of y=1x5. Concept used: Power rule of derivative: ddxxn=n·xn-1 Calculation:…

Q: derivative of the function

A: Derivative

Q: derivative of the function.

A: Given: The given function is, y=7e3x+e6x2 To find: The derivative of the given function. Formula…

Q: derivative of the function

A: Click to see the answer

Q: Finding a Derivative In Exercises 13–32, findthe derivative of the function. y=\sqrt[3]{6 x^{2}+1}

A: y=3(6x2+1)

Q: Finding a Second Derivative In Exercises59–62, find d2ydx2 implicitly in terms of x and y. 59. x2y…

A: Implicit functions in 2 variables are obtained when both the variables are used to define the…

Q: Evaluating a Second Derivative In Exercises 129–132,evaluate the second derivative of the function…

A: Derivative determines the change of one variable with respect to another variable. When the…

Q: Using the definition of derivative find the derivative of square root(x-8)

A: Click to see the answer

Q: Finding a Derivative In Exercises 41–58, findthe derivative of the function. \text { 44. } f(x)=8…

A: To find: The derivative of fx=8x+3x2. Concept used: Sum or difference rule of derivative:…

Q: Puestion 4. Using the definition of the derivative, show that f(x) = ifferentiable at x = -3. |2x+6|…

A: we have to show

A: Differentiation of the function with respect to x helps to find the derivative of the function.…

Q: Second Derivative Test Describe the Second Derivative Test in your own words.

A: Second derivative test: Second derivative test is used to check whether the function has minimum or…

Q: What is the rule for calculating the derivative of a composition of two differentiable functions?…

A: Let f(x) and g(x) be two differentiable functions and their composition is

Q: Derivatives involving sec x and csc x Find the derivative ofy = sec x csc x.

A: Click to see the answer

Q: Derivatives involving sec x and csc x Find the derivative ofy = sec x csc x.

A: Find the derivative of y=secxcscx.

Q: Finding a Derivative In Exercises 97–102, find dydx byimplicit differentiation.97. x2 + y2 = 64

A: x2+y2=64

Q: First Derivative Test Describe the First DerivativeTest in your own words.

A: Analyzing any function by finding its first derivative and then finding their extremum point is…

Q: Differentiation. Find the value of the derivative of (iz + 6z2)° at 4i.

A: Let us define function f as f(z)= iz3+6z23

Q: Finding a Derivative In Exercises 13–32, findthe derivative of the function. y=\frac{1}{x-2}

A: The rate of change in the value of the dependent variable with respect to the change in the value of…

Q: Finding a Derivative In Exercises 41–58, findthe derivative of the function. \text { 46. }…

A: Given function is: hx=4x3+2x+5x We have to find the derivative of h(x). We will apply the quotient…

Q: The slope of the tangent line to the graph of the function at the point. V The average rate of…

A: We have to check

Q: a) Using the method of first principle find the derivative of the function 1 f(x) = Show that sin* x…

A: Click to see the answer

Q: sin(x) Find the 3rd derivative of y =

A: Click to see the answer

Q: Finding derivative of the function f(x) = cx". a Derivative Explain how to find the

A: given, fx=cxn

Q: Find the derivative of the function using the definitionof derivative. State the domain of the…

A: Given: Derivative by definition.

Q: Find the derivative of the function using the definition of derivative. g(x) = V4 - x g'(x) State…

A: Click to see the answer

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions

Finding a Derivative In Exercises 7–26, usethe rules of differentiation to find the derivative ofthe function.
7. y = 12

Checking using Second Derivative Test

valuate the second derivative of the function at the given point. Use a computer algebra system to verify your result.

Horizontal Tangent Line In Exercises 63–70,determine the point(s) (if any) at which the graphof the function has a horizontal tangent line
66. y = x2 + 9

finding the local mins and
maximums and the intervals of increase and decrease and making a sign
diagram for the first derivative.

State the first-derivative rule. The second-derivative rule.

Horizontal Tangent Line In Exercises 63–70,determine the point(s) (if any) at which the graphof the function has a horizontal tangent line..
68. y = x + 4ex

2. Implicit Differentiation Explain when you have touse implicit differentiation to find a derivative.

The Fundamental Theorem of Calculus: Use the Fundamental Theorem of Calculus to find the derivative of
PS: Please find it using the theorem mentionned above correctly

- SEE MORE QUESTIONS

Recommended textbooks for you

Calculus: Early Transcendentals

Calculus

ISBN:9781285741550

Author:James Stewart

Publisher:Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:9780134438986

Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:9780134763644

Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:9781319050740

Author:Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:W. H. Freeman

Calculus: Early Transcendental Functions

Calculus

ISBN:9781337552516

Author:Ron Larson, Bruce H. Edwards

Publisher:Cengage Learning

Calculus: Early Transcendentals

Calculus

ISBN:9781285741550

Author:James Stewart

Publisher:Cengage Learning

Thomas' Calculus (14th Edition)

Calculus

ISBN:9780134438986

Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir

Publisher:PEARSON

Calculus: Early Transcendentals (3rd Edition)

Calculus

ISBN:9780134763644

Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz

Publisher:PEARSON

Calculus: Early Transcendentals

Calculus

ISBN:9781319050740

Author:Jon Rogawski, Colin Adams, Robert Franzosa

Publisher:W. H. Freeman

Calculus: Early Transcendental Functions

Calculus

ISBN:9781337552516

Author:Ron Larson, Bruce H. Edwards

Publisher:Cengage Learning