Derivatives Practice

Front

Find the derivative of f(x) = 5x² + 7x - 3.

Back

10x + 7

Front

Find the derivative: y = (4x - 5)(2x + 3)

Back

16x + 2

Front

Find dy/dx by Implicit Differentiation: xy = 6

Back

-y/x

Front

What is the derivative of xⁿ?

Back

nxⁿ⁻¹

Front

Find dy/dx by Implicit Differentiation: x + 4y = 1

Back

-1/4

Front

What is the power rule for derivatives?

Back

If f(x) = xⁿ, then f'(x) = nxⁿ⁻¹.

Front

What is the product rule for derivatives?

Back

If u(x) and v(x) are functions, then (uv)' = u'v + uv'.

Front

What is the quotient rule for derivatives?

Back

If u(x) and v(x) are functions, then (u/v)' = (u'v - uv')/v².

Front

Find the derivative of f(x) = 3x³ - 4x + 1.

Back

9x² - 4

Front

Find the derivative of f(x) = sin(x).

Back

cos(x)