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C3 Maths
A2 maths formula revision
Answer | C3 Maths |
---|---|
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 |