Derivative Worksheets

Essential practice with d/dx[x^n] = n·x^(n-1). Includes polynomials, negative exponents, and fractional exponents with step-by-step solutions.

Combined practice with constants, power rule, and basic functions. Perfect for beginners building foundational skills.

Focus on constant rule and constant multiple rule. Essential foundation before tackling more complex derivatives.

Comprehensive practice with (uv)' = u'v + uv'. Includes polynomial products, trig products, and exponential products.

Master composite functions with extensive chain rule practice. From simple chains to triple nested functions.

Apply (u/v)' = (u'v - uv')/v² with confidence. Includes rational functions and trig quotients.

Test your mastery! Problems requiring multiple rules. You must decide which rule(s) to apply for each problem.

Practice derivatives of sin, cos, tan, cot, sec, and csc. Includes memory aids and pattern recognition.

Combine trig derivatives with chain rule. Includes sin(3x²), cos(x³), tan(√x), and more complex compositions.

Find dy/dx for equations not solved for y. Covers circles, ellipses, and complex implicit relationships.

Master e^x, ln(x), and their combinations. Includes natural exponential, natural log, and general bases.

Real-world applications! Minimize costs, maximize area, and solve practical optimization scenarios using derivatives.

Solve problems involving rates of change. Includes ladder problems, filling tanks, shadows, and more.

Ultimate test prep! Mixed problems covering ALL derivative topics. Perfect for final exam preparation.