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人気のある微分積分 >

derivative e^{sin^2(x)}

解

導関数

e^{s i n^{2} (x)}

解

e^{s i n^{2} (x)} sin (2 x)

解答ステップ

\frac{d}{d x} (e^{s i n^{2} (x)})

連鎖法則を適用:

e^{s i n^{2} (x)} \frac{d}{d x} (sin^{2} (x))

= e^{s i n^{2} (x)} \frac{d}{d x} (sin^{2} (x))

\frac{d}{d x} (sin^{2} (x)) = sin (2 x)

= e^{s i n^{2} (x)} sin (2 x)

グラフ

人気の例

tangent f(x)=7-(16)/(sqrt(x)),\at x=4

t an g e n t f (x) = 7 - \frac{16}{x}, at x = 4

derivative y=x^{2^x}

d er i v a t i v e y = x^{2^{x}}

(x^5+3y)dx-xdy=0

(x^{5} + 3 y) d x - x d y = 0

integral of (x^3)/(sqrt(49+x^8))

\int \frac{x ^{3}}{49 + x ^{8}} d x

(d^2)/(dx^2)(15e^{x^2})

\frac{d ^{2}}{d x ^{2}} (15 e^{x^{2}})