Calculus/Differentiation/Basics of Differentiation/Exercises

Find the Derivative by Definition
Find the derivative of the following functions using the limit definition of the derivative.

Find the Derivative by Rules
Find the derivative of the following functions:

Implicit Differentiation
Use implicit differentiation to find y'

Logarithmic Differentiation
Use logarithmic differentiation to find $$\frac{dy}{dx}$$:

Equation of Tangent Line
For each function, $$f$$, (a) determine for what values of $$x$$ the tangent line to $$f$$ is horizontal and (b) find an equation of the tangent line to $$f$$ at the given point.