Derivatives

Derivatives

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the derivative of the function y = 8x - x^(-2)?

Back

y' = x^(-2) + 8x

2.

FLASHCARD QUESTION

Front

Find the derivative of f(x) = \frac{1}{x^2}. Hint: rewrite with a negative exponent.

Back

f'(x) = -2x^(-3)

3.

FLASHCARD QUESTION

Front

What is the derivative of the function f(x) = 1 - x^2?

Back

f'(x) = -2x

4.

FLASHCARD QUESTION

Front

Where on the graph would you find a horizontal tangent line?

Back

x = 0

5.

FLASHCARD QUESTION

Front

Find the derivative of the function f(x) = x^4.

Back

f'(x) = 4x^3

6.

FLASHCARD QUESTION

Front

Define the derivative in calculus.

Back

The derivative represents the rate of change of a function with respect to a variable.

7.

FLASHCARD QUESTION

Front

What is the power rule for differentiation?

Back

If f(x) = x^n, then f'(x) = n*x^(n-1).

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