Further Maths - Derivatives Cheat Sheet
Pearson Edexcel Further Mathematics 2022
Flashcards
Standard trigonometric derivatives
What is the derivative of
\[\csc(x)\]
?
\[-\csc(x)\cot(x)\]
\[\frac{\text{d}^2}{\text{d}x^2} \sec(x) = \frac{\text{d}}{\text{d}x} \sec(x)\tan(x) = ???\]
What is the second derivative here?
\[\sec(x)(\tan^2(x) + \sec^2(x))\]
\[\frac{\text{d}^2}{\text{d}x^2} \csc(x) = \frac{\text{d}}{\text{d}x} -\csc(x)\cot(x) = ???\]
What is the second derivative here?
\[\csc(x)(\cot^2(x) + \csc^2(x))\]
Hyperbolic trigonometric derivatives
\[\frac{\text{d}^2}{\text{d}x^2} \sech(x) = \frac{\text{d}}{\text{d}x} -\sech(x)\tanh(x) = ???\]
What is the second derivative here?
\[\sech(x)(\tanh^2(x) - \sech^2(x))\]
\[\frac{\text{d}^2}{\text{d}x^2} \csch(x) = \frac{\text{d}}{\text{d}x} -\csch(x)\coth(x) = ???\]
What is the second derivative here?
\[\csch(x)(\coth^2(x) + \csch^2(x))\]