For a constant

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

Problem

For a constant k≠0k\ne 0, let g(x)=sin⁡(kx)g(x)=\sin(kx). What is g′(a)g'(a) for an arbitrary real number aa? (a) ksin⁡(ka)k\sin(ka) (b) kcos⁡(ka)k\cos(ka) (c) cos⁡(ka)\cos(ka) (d) k2cos⁡(ka)k^{2}\cos(ka)

Related theory

Browse the problem library