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

Soluzione

derivata di

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

9.98342 \dots cos (0.19970 \dots x)

Fasi della soluzione

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

Semplifica

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)

Applica la regola della somma/differenza:

(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

Semplificare

= 9.98342 \dots cos (0.19970 \dots x)

\frac{d}{d x} (\frac{( 2 - x ) ^{2}}{( 2 + x )})

x \to 0 lim (\frac{1}{x ^{2} + x} - \frac{1}{x})

x \to - 5 lim (\frac{( x ^{2} + 6 x + 5 )}{x ^{2} + 4 x - 5})

y^{^{'}} = 3 y + 2

\int y (x + y) d y