derivative y=49.99sin(x/(5.0073))+49.99

解

導関数

y = 49.99 sin (\frac{x}{5.0073}) + 49.99

9.98342 \dots cos (0.19970 \dots x)

解答ステップ

\frac{d}{d x} (49.99 sin (\frac{x}{5.0073}) + 49.99)

簡素化

49.99 sin (\frac{x}{5.0073}) + 49.99 : 49.99 sin (0.19970 \dots x) + 49.99

= \frac{d}{d x} (49.99 sin (0.19970 \dots x) + 49.99)

和/差の法則を適用:

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

= \frac{d}{d x} (49.99 sin (0.19970 \dots x)) + \frac{d}{d x} (49.99)

\frac{d}{d x} (49.99 sin (0.19970 \dots x)) = 9.98342 \dots cos (0.19970 \dots x)

\frac{d}{d x} (49.99) = 0

= 9.98342 \dots cos (0.19970 \dots x) + 0

簡素化

= 9.98342 \dots cos (0.19970 \dots x)