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Beliebt Rechnen >

derivative of-7(x-13^2+8(x-13)+5)

Lösung

\frac{d}{d x} (- 7 (x - 13)^{2} + 8 (x - 13) + 5)

Lösung

- 14 x + 190

Schritte zur Lösung

\frac{d}{d x} (- 7 (x - 13)^{2} + 8 (x - 13) + 5)

Vereinfache

- 7 (x - 13)^{2} + 8 (x - 13) + 5 : - 7 x^{2} + 190 x - 1282

= \frac{d}{d x} (- 7 x^{2} + 190 x - 1282)

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (7 x^{2}) + \frac{d}{d x} (190 x) - \frac{d}{d x} (1282)

\frac{d}{d x} (7 x^{2}) = 14 x

\frac{d}{d x} (190 x) = 190

\frac{d}{d x} (1282) = 0

= - 14 x + 190 - 0

Vereinfache

= - 14 x + 190

Graph

Beliebte Beispiele

y^{''}-7y^'+10y=24e^x

y^{^{''}} - 7 y^{^{'}} + 10 y = 24 e^{x}

integral of sqrt(4-4x^2)

\int 4 - 4 x^{2} d x

derivative 2x^4

d er i v a t i v e 2 x^{4}

derivative of (x^3/8)

\frac{d}{d x} (\frac{x ^{3}}{8})

(\partial)/(\partial x)(ln(ax))

\frac{\partial}{\partial x} (ln (a x))