Let . Which of the following equals…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Let h(x)=sin⁡2 ⁣((3x5+1)4)h(x)=\sin^{2}\!\bigl((3x^{5}+1)^{4}\bigr). Which of the following equals h′(x)h'(x)? (a) 60x4(3x5+1)3sin⁡ ⁣((3x5+1)4)cos⁡ ⁣((3x5+1)4)60x^{4}(3x^{5}+1)^{3}\sin\!\bigl((3x^{5}+1)^{4}\bigr)\cos\!\bigl((3x^{5}+1)^{4}\bigr) (b) 120(3x5+1)3sin⁡ ⁣((3x5+1)4)cos⁡ ⁣((3x5+1)4)120(3x^{5}+1)^{3}\sin\!\bigl((3x^{5}+1)^{4}\bigr)\cos\!\bigl((3x^{5}+1)^{4}\bigr) (c) 120x4(3x5+1)3sin⁡ ⁣((3x5+1)4)cos⁡ ⁣((3x5+1)4)120x^{4}(3x^{5}+1)^{3}\sin\!\bigl((3x^{5}+1)^{4}\bigr)\cos\!\bigl((3x^{5}+1)^{4}\bigr) (d) 120x4(3x5+1)4sin⁡ ⁣((3x5+1)4)cos⁡ ⁣((3x5+1)4)120x^{4}(3x^{5}+1)^{4}\sin\!\bigl((3x^{5}+1)^{4}\bigr)\cos\!\bigl((3x^{5}+1)^{4}\bigr)

Related theory

Browse the problem library