Expert Answer to "Compute the following derivatives ddx[x4tan3(x2)]"

Brennan Flores

Answered question

2021-05-31

Compute the following derivatives

\frac{d}{d x} [x^{4} \tan^{3} (x^{2})]

Fatema Sutton

Skilled2021-06-01Added 88 answers

y = x^{4} \tan^{3} (x^{2})

Differentiating with respect to x

y^{'} = x^{4} \times 3 \tan^{2} (x^{2}) \times \sec^{2} (x^{2}) \times 2 x + \tan^{3} (x^{2}) \times 4 x^{3}

Used chain rule which says derivative of
F(G(X))=F'(G'(X))

y^{'} = 6 x^{5} \tan^{2} (x^{2}) \sec^{2} (x^{2}) + 4 x^{3} \tan^{3} (x^{2})

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