derivative of 1/10 (x-60^2+100)

Lösung

\frac{d}{d x} (\frac{1}{10} (x - 60)^{2} + 100)

\frac{1}{5} (x - 60)

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{10} (x - 60)^{2} + 100)

Vereinfache

\frac{1}{10} (x - 60)^{2} + 100 : \frac{( x - 60 ) ^{2}}{10} + 100

= \frac{d}{d x} (\frac{( x - 60 ) ^{2}}{10} + 100)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{( x - 60 ) ^{2}}{10}) + \frac{d}{d x} (100)

\frac{d}{d x} (\frac{( x - 60 ) ^{2}}{10}) = \frac{1}{5} (x - 60)

\frac{d}{d x} (100) = 0

= \frac{1}{5} (x - 60) + 0

Vereinfache

= \frac{1}{5} (x - 60)

t a y l or sin^{2} (x)

\int \frac{1}{sec ^{2} ( θ )} d θ

\int \frac{4}{3 x} d x

\frac{d ^{2}}{d x ^{2}} (ln (1 - x))

\int sin (x) d (sin (x)) d x