Are you working to use the Chain Rule in Calculus? Students often initially find it confusing; let’s break it down and develop an easy can’t-fail approach. Jump down this page to using the Chain rule and: [Power rule] [Exponentials] [Trig Functions] [Product rule & Quotient rule] [Chain rule multiple times] [More problems and University exam problems] Update: We now have much more more fully developed materials for you to… [read more]

Are you working to calculate derivatives in Calculus? Let’s solve some common problems step-by-step so you can learn to solve them routinely for yourself. Jump down this page to: [Power rule: $x^n$] [Exponential: $e^x$] [Trig derivs] [Product rule] [Quotient rule] [More problems & University exam problems][Chain rule (will take you to a new page)] Update: We now have a much… [read more]

Handy Table of Derivatives Want lots of examples to see how to calculate derivatives? Visit our free Calculating Derivatives: Problems & Solutions page! Power of x \begin{align*} \frac{d}{dx} \left(c\right) &= 0 \\[8px] \frac{d}{dx} \left(cx\right) &= c \\[8px] \frac{d}{dx} \left(cx^n\right) &= ncx^{n-1} \\[8px] \end{align*} For example, \[\dfrac{d}{dx}5x^3 = 3 \cdot 5x^2 = 15x^2 \] You’ll also… [read more]

Handy Table of Trig Function Derivatives Want lots of examples to see how to calculate derivatives? Visit our free Calculating Derivatives: Problems & Solutions page! \begin{align*} \frac{d}{dx}\left(\sin x\right) &= \cos x \\[8px] \dfrac{d}{dx}\left(\cos x\right) &= -\sin x \\[8px] \dfrac{d}{dx}\left(\tan x\right) &= \sec^2 x \\[8px] \frac{d}{dx}\left(\csc x\right) &= -\csc x \cot x \\[8px] \frac{d}{dx}\left(\sec x\right) &=… [read more]