3 Differentiate with respect to x: a sin(x2) b cos ya C VCOST d sin x e cost x f cos x sin 2x g cos(cosx) h cos3 4x 4 Differentiate cosec x 1 with respect to x using: sin c a the quotient rule b the chain rule. 5 Differentiate with respect to x: a sec T = b cota COST tan c 6 Find the gradient of the tangent to: a f(x) = sing x at the point where a = 21 b f(x) = cos x sin x at the point where a = 4. 7 Consider the function f(x) = 2cosa + 2sina + 1. Find f' (x). b Explain your answer to a