Calculate the derivative of polynomials and functions with real exponents
Use differentiation to solve a variety of problems including the calculation of slopes of curves, tangents to curves, velocity and acceleration of an object and rate of change of a function
Use derivatives and second derivatives to find features of functions, including stationary points and inflection points
Apply the sum, product and quotient rules to find derivatives of simple functions.
Calculate the derivative of standard trigonometric functions, exponential functions and logarithmic functions
Apply standard differentiation rules to functions involving trigonometric functions, exponential functions and logarithmic functions.
Recall and apply the chain rule to differentiate composite functions, including those using polynomials, trigonometric functions, exponential functions and logarithmic functions
Use derivative rules and trigonometric functions, exponential functions and logarithmic functions to solve a variety of problems.
Recall and apply differentiation rules to products, quotients and compositions of functions, including those using polynomials, trigonometric functions, exponential functions and logarithmic functions
Use derivative rules to derive rules for common special derivatives
Use derivative rules and trigonometric functions, exponential functions and logarithmic functions to solve a variety of problems.