Derivatives with the power ruleDifferentiate polynomials term by term with the power rule, including negative and fractional exponents.The product and quotient rulesDifferentiate products with the product rule, (fg)′ = f′g + fg′, and quotients with the quotient rule, (f/g)′ = (f′g − fg′)/g².The chain ruleDifferentiate composite functions such as (3x + 1)⁵, (x² − 4)³ and √(2x + 5) with the chain rule.Derivatives of trigonometric, exponential and logarithmic functionsDifferentiate sine, cosine, eˣ and ln x, including multiples like e^(kx) and sin(kx), using the basic rules and the chain rule.Equations of tangent linesFind the slope of a curve at a point with the derivative, then write the equation of the tangent line there.
Calculus Derivatives Worksheets
The power, product, quotient and chain rules, derivatives of trigonometric, exponential and logarithmic functions, and tangent lines. Every sheet comes with a computed answer key.
Make a mixed derivatives sheet