Practice problem
Find f'(x) when f(x)=cos3(5x5)f(x)=\cos^3(5x^5)f(x)=cos3(5x5)
f′(x)=[cos3(25x5)]+[−sin3(5x5)]f'(x)=[\cos^3(25x^5)]+ [-\sin^3(5x^5)]f′(x)=[cos3(25x5)]+[−sin3(5x5)]
f′(x)=[3cos2(5x5)][−sin(5x5)][(25x4)]f'(x)=[3\cos^2(5x^5)][-\sin(5x^5)][(25x^4)]f′(x)=[3cos2(5x5)][−sin(5x5)][(25x4)]
f′(x)=[−sin3(5x5)][cos3(25x4)]f'(x)=[-\sin^3(5x^5)][\cos^3(25x^4)]f′(x)=[−sin3(5x5)][cos3(25x4)]
f′(x)=[3cos2(5x5)][−sin(25x4)]f'(x)=[3\cos^2(5x^5)][-\sin(25x^4)]f′(x)=[3cos2(5x5)][−sin(25x4)]
Type a concept, like “slope” or “photosynthesis”.
