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人気のある微分積分 >

derivative sin(5x^2-3x+4)

解

導関数

sin (5 x^{2} - 3 x + 4)

解

cos (5 x^{2} - 3 x + 4) (10 x - 3)

解答ステップ

\frac{d}{d x} (sin (5 x^{2} - 3 x + 4))

連鎖法則を適用:

cos (5 x^{2} - 3 x + 4) \frac{d}{d x} (5 x^{2} - 3 x + 4)

= cos (5 x^{2} - 3 x + 4) \frac{d}{d x} (5 x^{2} - 3 x + 4)

\frac{d}{d x} (5 x^{2} - 3 x + 4) = 10 x - 3

= cos (5 x^{2} - 3 x + 4) (10 x - 3)

グラフ

人気の例

derivative y=63

d er i v a t i v e y = 63

derivative y=sin^2(3x+4)

d er i v a t i v e y = sin^{2} (3 x + 4)

derivative 3x-2y=log_{10}(3x+2y)

d er i v a t i v e 3 x - 2 y = lo g_{10} (3 x + 2 y)

derivative x^2+5y^2=5

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

derivative 3+sin(y)=y-x^3

d er i v a t i v e 3 + sin (y) = y - x^{3}