First Principles Differentiation - Trigonometry (Edexcel A-Level Mathematics): Quizzes

📚Quizzes
First Principles Differentiation - Trigonometry
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What is the limit definition of the derivative f′(x)f'(x)?

lim⁡h→0f(x+h)−f(x)h\lim_{h \to 0} \frac{f(x+h) - f(x)}{h}

What does the derivative represent geometrically?

The slope of the tangent line

What is the value of lim⁡h→0sin⁡(h)h\lim_{h \to 0} \frac{\sin(h)}{h}?

11

What is ddxsin⁡(x)\frac{d}{dx} \sin(x)?

cos⁡(x)\cos(x)

What is ddxcos⁡(x)\frac{d}{dx} \cos(x)?

−sin⁡(x)-\sin(x)

What is ddxtan⁡(x)\frac{d}{dx} \tan(x)?

sec⁡2x\sec^2 x

What is ddxsec⁡(x)\frac{d}{dx} \sec(x)?

sec⁡xtan⁡x\sec x \tan x

What is ddxcot⁡(x)\frac{d}{dx} \cot(x)?

−csc⁡2x-\csc^2 x

What is ddx(cos⁡2x)\frac{d}{dx} (\cos^2 x)?

−2sin⁡xcos⁡x-2\sin x \cos x

What is ddxtan⁡(kx)\frac{d}{dx} \tan(kx)?

ksec⁡2(kx)k\sec^2(kx)

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.