Calculus Derivatives and Rules

Calculus Derivatives and Rules

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Medium

Created by

Aiden Montgomery

Used 1+ times

FREE Resource

This video tutorial focuses on finding the derivative of exponential functions, starting with the base e. It covers the basic formula for the derivative of e^x and extends to more complex examples involving different bases. The tutorial also includes a mixed review of problems and advanced problems that require the use of product and quotient rules. The video aims to provide a comprehensive understanding of differentiating exponential functions.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of e to the power of x?

e^(x+1)

x * e^x

x^e

e^x

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the derivative of a^u where a is not e?

a^u * u' * ln(a)

a^u * u'

a^u * ln(a)

a^u * ln(e)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of 3^x?

3^x * ln(3)

3^x * x

3^x * ln(e)

3^x * 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of e raised to the sine of x?

e^(sin x) * sec x

e^(sin x) * cos x

e^(sin x) * sin x

e^(sin x) * tan x

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which rule is used to find the derivative of x^3 * e^(4x)?

Power Rule

Chain Rule

Quotient Rule

Product Rule

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of x^3 * e^(4x) using the product rule?

3x^2 * e^(4x) + 4x^3 * e^(4x)

3x^2 * e^(4x) - 4x^3 * e^(4x)

3x^2 * e^(4x) + x^3 * e^(4x)

3x^2 * e^(4x) + 4 * e^(4x)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the quotient rule?

(g * f' - f * g') / g^2

(f * g' - g * f') / g^2

(f' * g - g' * f) / f^2

(g' * f - f' * g) / f^2

Create a free account and access millions of resources

Create resources
Host any resource
Get auto-graded reports
or continue with
Microsoft
Apple
Others
By signing up, you agree to our Terms of Service & Privacy Policy
Already have an account?