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人気のある微分積分 >

(\partial)/(\partial x)(sin^4(x))

解

\frac{\partial}{\partial x} (sin^{4} (x))

解

4 sin^{3} (x) cos (x)

解答ステップ

\frac{\partial}{\partial x} (sin^{4} (x))

連鎖法則を適用:

4 (sin (x))^{3} \frac{\partial}{\partial x} (sin (x))

= 4 (sin (x))^{3} \frac{\partial}{\partial x} (sin (x))

\frac{\partial}{\partial x} (sin (x)) = cos (x)

= 4 (sin (x))^{3} cos (x)

簡素化

= 4 sin^{3} (x) cos (x)

人気の例

勾配 (-4,6),(3,-8)

s l o p e (- 4, 6), (3, - 8)

integral of (4x^3-2)x^2

\int (4 x^{3} - 2) x^{2} d x

sum from n=1 to infinity of (n!)/(5^n)

n = 1 \sum \infty \frac{n !}{5 ^{n}}

derivative f(x)= 1/(x^{16)}

d er i v a t i v e f (x) = \frac{1}{x ^{16}}

integral of (x^3)/3

\int \frac{x ^{3}}{3} d x