11 resources.
The chain rule for differentiating composite functions, with two worked derivative examples.
The power rule for differentiating x to a fixed exponent, with a worked example on a square root.
The product rule for differentiating a product of two functions, with worked examples including logarithmic differentiation.
The quotient rule for differentiating one function divided by another, with worked examples.
Using derivatives as rates of change, with worked examples on a growing circle's area and a particle's velocity and acceleration.
How to differentiate an equation that isn't already solved for y, with worked examples including an inverse trig identity.
How the sign of a function's derivative determines where it's increasing or decreasing, with worked examples including a cubic.
What Rolle's theorem states and how to verify it for a function on a closed interval, with a worked example.
How the derivative gives the tangent's slope and the normal's slope is its negative reciprocal, with a worked example.
Finding the slope of a tangent line to a curve at a given point, with worked examples on a cubic and a rational function.
Using differentials to approximate square roots and estimate small changes, with worked examples including a percentage-change setup.