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

פתרון

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

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

צעדי פתרון

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

השתמש בחוק השרשרת:

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}))

פשט

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

x \to - \infty lim (x ln (x))

\frac{d}{d x} (x^{2} + x^{2} ln (x))

\frac{d y}{d t} = t^{4} y

t a y l or x^{4}, 1

t an g e n t - \frac{2 x}{x ^{2} + 1}