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人気のある微分積分 >

derivative of 1-sin(xcos(x))

解

\frac{d}{d x} (1 - sin (x) cos (x))

解

- cos (2 x)

解答ステップ

\frac{d}{d x} (1 - sin (x) cos (x))

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (1) - \frac{d}{d x} (sin (x) cos (x))

\frac{d}{d x} (1) = 0

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

= 0 - cos (2 x)

簡素化

= - cos (2 x)

グラフ

人気の例

integral of tcsc^2((3t^2)/2)

\int t csc^{2} (\frac{3 t ^{2}}{2}) d t

sum from n=4 to infinity of 1/(n^2)

n = 4 \sum \infty \frac{1}{n ^{2}}

tangent f(x)= 6/(5x+2),(-1,-2)

t an g e n t f (x) = \frac{6}{5 x + 2}, (- 1, - 2)

integral of ((sin(4x))/4)-((sin^3(x))/4)

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

sum from n=0 to infinity of n(n+1)-1

n = 0 \sum \infty n (n + 1) - 1