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人気のある微分積分 >

derivative of sin^4(2x+3)

解

\frac{d}{d x} (sin^{4} (2 x + 3))

解

8 sin^{3} (2 x + 3) cos (2 x + 3)

解答ステップ

\frac{d}{d x} (sin^{4} (2 x + 3))

連鎖法則を適用:

4 (sin (2 x + 3))^{3} \frac{d}{d x} (sin (2 x + 3))

= 4 (sin (2 x + 3))^{3} \frac{d}{d x} (sin (2 x + 3))

\frac{d}{d x} (sin (2 x + 3)) = cos (2 x + 3) \cdot 2

= 4 (sin (2 x + 3))^{3} cos (2 x + 3) \cdot 2

簡素化

= 8 sin^{3} (2 x + 3) cos (2 x + 3)

グラフ

人気の例

derivative (1/x)^3

d er i v a t i v e (\frac{1}{x})^{3}

tangent f(x)=(3x-1)/(x^2+1),\at x=6

t an g e n t f (x) = \frac{3 x - 1}{x ^{2} + 1}, at x = 6

integral from 1 to 2 of (4x^2-7x-12)/(x(x+2)(x-3))

\int_{1}^{2} \frac{4 x ^{2} - 7 x - 12}{x ( x + 2 ) ( x - 3 )} d x

derivative y=ln(x^2+5)

d er i v a t i v e y = ln (x^{2} + 5)

integral of (sin(2x)+cos(2x))

\int (sin (2 x) + cos (2 x)) d x