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# C3 Maths

### A2 maths formula revision

Rewrite sin x / cos x in terms of tan tan x
Rewrite sec^2 x in terms of tan 1 + tan^2 x
rewrite cosec^2 x in terms of cot 1 + cot^2 x
What do you use the chain rule for? Differentiating a function of a function, eg sin 2x or exp(3x)
What do you use the quotient rule for? Differentiating a function divided by a function, ie u/v
What do you use the product rule for? Differentiating two functions multiplied together, eg (x^2)(sin x)
Differentiate sin kx k cos kx
Differentiate cos kx - k sin kx
Differentiate e^(kx) k e (kx)
Integrate sin kx - 1/k cos kx + c
Integrate cos kx 1/k sin kx+ c
Integrate tan x sec^2 x + c
Integrate 1/x ln|x| + c
Integrate e^kx 1/k e^kx + c
What is the formula for the volume generated by rotating the area enclosed by a curve y = f(x) and the x-axis? revolution around the x axis? V = pi int(a,b) y^2 dx
What is the formula for finding the volume generated by rotating the area enclosed by a curve y = f(x) and the y-axis? V = pi int (a,b) x^2 dx
What is 1/ sin x cosec x
What is 1/ cos x sec x
What is 1/ tan x cot x
Differentiate ln x 1/ x
What is sin^2 x + cos^2 x 1
What is 1 - cos^2 x sin^2 x
Created by: stevebishop