Welcome :: Homework Help and Answers :: Mathskey.com

Recent Visits

Q&A
Unanswered
Categories
Users
Ask a Question

Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

Q&A Categories
BASIC MATH (93)
PRE-ALGEBRA (441)
ALGEBRA 1 (2,216)
GEOMETRY (864)
ALGEBRA 2 (2,745)
TRIGONOMETRY (1,186)
PRECALCULUS (1,903)
CALCULUS (2,791)
STATISTICS (129)
PHYSICS (658)
CHEMISTRY (136)
MECHANICAL ENGINEERING (64)
ELECTRICAL ENGINEERING (207)
Winplot Tutorials (2)

Most popular tags

solving-equations system-of-equations functions math slope-intercept-form physics homework-help trigonometric-identities integration substitution-method limits calculus

13,435 questions

17,804 answers

1,438 comments

776,811 users

Find the derivative of the function.

0 votes

Find the derivative of the function. (Hint: Apply logarithmic properties before differentiating.)

derivative-of-the-function

asked Jan 31, 2015 in CALCULUS by anonymous

Share this question

Google+ Facebook Twitter LinkedIn Reddit

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

0 votes

Step 1:

The function is .

Rewrite the expression.

Logarithm property of power rule :.

.

Change-of-base formula for logarithm property : .

.

Apply derivative on each side with respect to .

Solution :

The derivative of the function is .

answered Jan 31, 2015 by joseph Apprentice

Please log in or register to add a comment.

Related questions

Find the derivative of the function. y = 4^(4-x^2)?

asked Aug 22, 2015 in CALCULUS by anonymous

derivative-of-the-function
calculus

Find the derivative of the function.

asked Jan 29, 2015 in CALCULUS by anonymous

derivative-of-the-function

Find the derivative of the function.

asked Jan 29, 2015 in CALCULUS by anonymous

derivative-of-the-function

Find the derivative of the function.

asked Jan 23, 2015 in CALCULUS by anonymous

definite-integral
derivative-of-the-function

Find the derivative of the function.

asked Jan 22, 2015 in CALCULUS by anonymous

derivative-of-the-function

Use a graphing utility to find the derivative of the function at the given point

asked Jan 22, 2015 in CALCULUS by anonymous

tangent
derivative-of-the-function
graph

Find the derivative for this function. 4/(sqrt(1-x)) using f(a+h)-f(a)/h .?

asked Feb 12, 2015 in CALCULUS by anonymous

derivative-of-the-function

Find the value of the derivative (if it exists) at the indicated extremum

asked Apr 18, 2017 in CALCULUS by anonymous

derivative-of-the-function

find f'(x) from first principles, that is, directly from the definition of derivative f(x) = (4-x)/(3+x)

asked Aug 25, 2015 in CALCULUS by anonymous

derivative-of-the-function
first-principal-of-dervatives

Let f(x)= 6x^2, find fprime(3) using the limit definition of the derivative.

asked Feb 12, 2015 in CALCULUS by anonymous

derivative-of-the-function
tangent

Find the value of the derivative (if it exists) at the indicated extremum.

asked Jan 22, 2015 in CALCULUS by anonymous

derivative-of-the-function
extrema

Find an equation of the tangent line to the graph of the function at the given point. (x+1/x-1)^2 (3,4)?

asked Feb 9, 2015 in CALCULUS by anonymous

derivative-of-the-function
tangent

How do I find the derivatives of this function?

asked Feb 9, 2015 in CALCULUS by anonymous

derivative-of-the-function

Find an equation of the tangent line to the graph of the function at the given point.

asked Jan 31, 2015 in CALCULUS by anonymous

derivative-of-the-function
tangent

Find any critical numbers of the function.

asked Jan 22, 2015 in CALCULUS by anonymous

critical-numbers
derivative-of-the-function

Show the anti derivative and the derivative of the given graph.?

asked Feb 11, 2015 in CALCULUS by anonymous

derivative-of-the-function
inflection-points

Locate the absolute extrema of the function (if any exist) over each interval.

asked Jan 22, 2015 in CALCULUS by anonymous

absolute-extrema
derivative-of-the-function

Locate the absolute extreama of the function on the closed interval.

asked Jan 22, 2015 in CALCULUS by anonymous

absolute-extrema
derivative-of-the-function

Parital Derivative

asked Jun 15, 2017 in CALCULUS by anonymous

derivative-of-the-function

Find an equation of the tangent line to the graph of f at the given point

asked Jan 29, 2015 in CALCULUS by anonymous

derivative-of-the-function
tangent

Copyright © 2024 MATHSKEY. All Rights Reserved. Sitemap|Terms Of Use|Disclaimer|Contact Us|FAQ

...