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人気のある微分積分 >

d/(dθ)(sin^3(θ))

解

\frac{d}{d θ} (sin^{3} (θ))

解

3 sin^{2} (θ) cos (θ)

解答ステップ

\frac{d}{d θ} (sin^{3} (θ))

連鎖法則を適用:

3 (sin (θ))^{2} \frac{d}{d θ} (sin (θ))

= 3 (sin (θ))^{2} \frac{d}{d θ} (sin (θ))

\frac{d}{d θ} (sin (θ)) = cos (θ)

= 3 (sin (θ))^{2} cos (θ)

簡素化

= 3 sin^{2} (θ) cos (θ)

グラフ

人気の例

derivative of 10(1-e^{x/2})

\frac{d}{d x} (10 (1 - e^{\frac{x}{2}}))

derivative of (x^3-2/((x-1)^2))

\frac{d}{d x} (\frac{x ^{3} - 2}{( x - 1 ) ^{2}})

integral of 1/(xsqrt(ln(x)))

\int \frac{1}{x ln ( x )} d x

derivative of xy^'

\frac{d}{d x} (x y^{^{'}})

tangent y=x^4+7x^2-x,(1,7)

t an g e n t y = x^{4} + 7 x^{2} - x, (1, 7)