Earn these career-relevant skills in weeks, not years.
- Graph various functions.
- Create new functions performing scaling and shift operations.
- Calculate slopes of tangent lines to a curve at given points.
- Determine limits of functions.
- Assess the continuity of functions at given points.
- Compute the derivatives of linear, quadratic, polynomial, and trigonometric functions.
- Apply differentiation rules for powers, multiples, sums, differences, products, and quotients.
- Recognize derivatives as rates of change.
- Find the derivative of the composition of two functions, using the chain rule.
- Calculate the derivative of multivariable expressions, implicit differentiation.
- Derive rates of change from related known rates of change.
- Approximate derivatives using linearization.
- Determine extrema, concavity, and critical points of functions using derivatives.
- Evaluate a continuous function using the Mean Value Theorem to find the derivative.
- Solve applied optimization problems.
- Approximate a solution to an equation using Newton’s method.
- Recover the antiderivative of simple polynomial and trigonometric functions.
Calculus I Concept Review
- Apply the concepts presented in this course.
