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Finding Derivatives of Functions

Finding Derivatives of Functions

Assessment

Flashcard

Mathematics

12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the derivative of a function?

Back

The derivative of a function measures how the function's output value changes as its input value changes. It represents the slope of the tangent line to the function's graph at a given point.

2.

FLASHCARD QUESTION

Front

What is the power rule for differentiation?

Back

The power rule states that if f(x) = x^n, then f'(x) = n*x^(n-1), where n is a constant.

3.

FLASHCARD QUESTION

Front

How do you differentiate a quotient of two functions?

Back

To differentiate a quotient of two functions, use the quotient rule: if f(x) = g(x)/h(x), then f'(x) = (g'(x)h(x) - g(x)h'(x)) / (h(x))^2.

4.

FLASHCARD QUESTION

Front

What is the product rule for differentiation?

Back

The product rule states that if f(x) = g(x) * h(x), then f'(x) = g'(x)h(x) + g(x)h'(x).

5.

FLASHCARD QUESTION

Front

What is the derivative of sin(x)?

Back

The derivative of sin(x) is cos(x).

6.

FLASHCARD QUESTION

Front

What is the derivative of cos(x)?

Back

The derivative of cos(x) is -sin(x).

7.

FLASHCARD QUESTION

Front

What is the derivative of tan(x)?

Back

The derivative of tan(x) is sec^2(x).

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