If $y=sin^5x$ then what is $dy/dx$ ?

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Answer 1 · 2016-10-04T23:53:42

If $y=sin^5x$ , then Let $u=sin x$ ,

Then $(du)/(dx)=cosx$ and $y=u^5$ so $(dy)/(du)=5u^4$

Chain rule gives $(dy)/(dx)=(dy)/(du) (du)/(dx)$ . so:
$(dy)/(dx)= 5u^4 cosx = 5sin^4x cos x$

If y=sin^5xy=sin^5x then what is dy/dxdy/dx?