Captain Calc's Power Rule Practice

Front

Find the slope of f(x) = -3x² - 6x at x = 1.

Back

m = -12

Front

Differentiate y = 12x⁻².

Back

f'(x) = -24x⁻³

Front

If f(x) = 3∛x, find f'(x).

Back

f'(x) = x⁻²/³

Front

Find the derivative of y = 5x⁴.

Back

f'(x) = 20x³

Front

What is the derivative of y = 8x - x⁻²?

Back

y' = 8x + x⁻²

Front

Define the Power Rule in differentiation.

Back

The Power Rule states that d/dx[x^n] = n*x^(n-1).

Front

Differentiate y = x³ + 2x² - 5.

Back

f'(x) = 3x² + 4x.

Front

What is the derivative of a constant function?

Back

The derivative of a constant function is 0.

Front

Differentiate y = 7x⁵.

Back

f'(x) = 35x⁴.

Front

If f(x) = x⁴, find f'(x).

Back

f'(x) = 4x³.