Brilliant

Practice

Algebra
Geometry
Number Theory
Calculus
Probability
Basic Mathematics
Logic
Classical Mechanics
Electricity and Magnetism
Computer Science
Quantitative Finance
Chemistry

rocket with vector

Excel in math and science.

Log in with Facebook Log in with Google Log in with email

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

rocket with vector

Your answer seems reasonable. Find out if you're right!

Sign up to access problem solutions.

That seems reasonable. Find out if you're right!

Sign up to save your progress!

Log in with Facebook Log in with Google Log in with email

Join using Facebook Join using Google Join using email

Forgot password? New user? Sign up

Existing user? Log in

Derivatives

Concept Quizzes

Derivatives Warmup
Derivative by First Principle
Derivatives of Linear Functions
Derivatives of Polynomials
Derivatives of Rational Function
Derivatives of Exponential Functions
Derivatives of Logarithmic Functions
Derivatives of Trigonometric Functions
Instantaneous Rate of Change
Graphical Interpretation of Derivatives
Discrete First Derivatives Warmup

Challenge Quizzes

Derivatives: Level 2 Challenges

Derivatives of Exponential Functions

What is the derivative of the function $y=4e^x?$

e^x

4e^x

4

4e

Show explanation

View wiki

by Brilliant Staff

What is the derivative of the function $y=e^{3x}?$

e^{3x}

3e^x

3e^{3}

3e^{3x}

Show explanation

View wiki

by Brilliant Staff

What is the derivative of the function $y=3^{x}?$

e^x\ln{3}

3^x

3^x\ln{3}

x\cdot 3^{x-1}

Show explanation

View wiki

by Brilliant Staff

What is the derivative of the function $y=6^{2x}?$

6^{2x}\ln{6}

2x \cdot 6^{2x-1}

12^{2x}\ln{6}

2\cdot 6^{2x}\ln{6}

Show explanation

View wiki

by Brilliant Staff

What is the derivative of the function $y=x^{3}+9e^x?$

3x^2+9e^{x-1}

3x^3+9e^x

3x^2+e^x

3x^2+9e^x

Show explanation

View wiki

by Brilliant Staff

×

Problem Loading...

Note Loading...

Set Loading...