| 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 |
500 Words
