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Popolare Calcoli >

derivative of sin(tan(cos(2pix^4)))

Soluzione

\frac{d}{d x} (sin (tan (cos (2 π x^{4}))))

Soluzione

- 8 π x^{3} sec^{2} (cos (2 π x^{4})) cos (tan (cos (2 π x^{4}))) sin (2 π x^{4})

Fasi della soluzione

\frac{d}{d x} (sin (tan (cos (2 π x^{4}))))

Applica la regola della catena:

cos (tan (cos (2 π x^{4}))) \frac{d}{d x} (tan (cos (2 π x^{4})))

= cos (tan (cos (2 π x^{4}))) \frac{d}{d x} (tan (cos (2 π x^{4})))

\frac{d}{d x} (tan (cos (2 π x^{4}))) = - 8 π x^{3} sec^{2} (cos (2 π x^{4})) sin (2 π x^{4})

= cos (tan (cos (2 π x^{4}))) (- 8 π x^{3} sec^{2} (cos (2 π x^{4})) sin (2 π x^{4}))

Semplificare

= - 8 π x^{3} sec^{2} (cos (2 π x^{4})) cos (tan (cos (2 π x^{4}))) sin (2 π x^{4})

Grafico

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