Power Rule Derivatives

Front

What is the Power Rule for derivatives?

Back

The Power Rule states that if f(x) = x^n, then f'(x) = n*x^(n-1).

Front

Find f'(x) when f(x) = 5x^4.

Back

f'(x) = 20x^3.

Front

What is the derivative of a constant function?

Back

The derivative of a constant function is 0.

Front

Find f'(x) when f(x) = 7.

Back

f'(x) = 0.

Front

Find f'(x) when f(x) = 2x^3 + 3x^2 + 4x.

Back

f'(x) = 6x^2 + 6x + 4.

Front

What is the derivative of f(x) = x^5?

Back

f'(x) = 5x^4.

Front

Find f'(x) when f(x) = 4x^2 + 2x + 1.

Back

f'(x) = 8x + 2.

Front

What is the derivative of f(x) = 3x^7?

Back

f'(x) = 21x^6.

Front

Find f'(x) when f(x) = x^6 - 2x^3 + 5.

Back

f'(x) = 6x^5 - 6x^2.

Front

What is the derivative of f(x) = 1/x?

Back

f'(x) = -1/x^2.