Limits and derivatives worksheets Grade 12
Limits, the power, product, quotient and chain rules, derivatives of trig, exponential and log functions, and their uses.
- Evaluating limitsEvaluate limits by substitution, factoring, and comparing highest powers.
- The power rule for derivativesDifferentiate powers of x, including roots and fractions written as powers.
- The product ruleDifferentiate products with (uv)′ = u′v + uv′.
- The quotient ruleDifferentiate quotients with the quotient rule.
- The chain ruleDifferentiate composite functions: the outside, then times the inside's derivative.
- Derivatives of trig, exponential and log functionsDifferentiate sin, cos, eˣ and ln x, with the chain and product rules.
- Equation of a tangent lineFind the equation of the tangent line at a point.
- Derivatives as rates of changeUse derivatives to find velocity and other rates of change.
- Finding maximum and minimum pointsFind critical points and classify them with the second derivative.
Unit packet
One two-sided worksheet for every topic, then the unit test, with the answer key at the back. Fresh each time.
UnlimitedGet Unlimited →
Unit test
Two problems from every topic. Pass it and move up to the next unit.
UnlimitedGet Unlimited →