derivative y=1.73sin(33pix)

解答

导数

y = 1.73 sin (33 π x)

179.35352 \dots cos (103.67255 \dots x)

求解步骤

\frac{d}{d x} (1.73 sin (33 π x))

化简

1.73 sin (33 π x) : 1.73 sin (103.67255 \dots x)

= \frac{d}{d x} (1.73 sin (103.67255 \dots x))

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

= 1.73 \frac{d}{d x} (sin (103.67255 \dots x))

使用连锁律:

cos (103.67255 \dots x) \frac{d}{d x} (103.67255 \dots x)

= cos (103.67255 \dots x) \frac{d}{d x} (103.67255 \dots x)

\frac{d}{d x} (103.67255 \dots x) = 103.67255 \dots

= 1.73 cos (103.67255 \dots x) \cdot 103.67255 \dots

化简

= 179.35352 \dots cos (103.67255 \dots x)

\frac{d}{d x} (cos (k x + b))

\frac{d}{d x} (\frac{1}{4} sin^{2} (2 x))

\frac{d y}{d x} = \frac{( y ^{2} + 2 x y )}{x ^{2}}

n = 1 \sum \infty 3 e^{- 5 n}

t an g e n t f (x) = 9 + 4 x^{2} - 2 x^{3}, at x = 2