derivative of (3x+2(4x-3))

Lösung

\frac{d}{d x} ((3 x + 2) (4 x - 3))

24 x - 1

Schritte zur Lösung

\frac{d}{d x} ((3 x + 2) (4 x - 3))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = 3 x + 2, g = 4 x - 3

= \frac{d}{d x} (3 x + 2) (4 x - 3) + \frac{d}{d x} (4 x - 3) (3 x + 2)

\frac{d}{d x} (3 x + 2) = 3

\frac{d}{d x} (4 x - 3) = 4

= 3 (4 x - 3) + 4 (3 x + 2)

Vereinfache

3 (4 x - 3) + 4 (3 x + 2) : 24 x - 1

= 24 x - 1

\frac{d}{d x} ((x^{3} - 4 x) \cdot e^{3 x})

y^{^{'''}} - 8 = 0

n = 0 \sum \infty \frac{2 n}{n ^{2}}

\frac{\partial}{\partial y} ((x y^{2} + x^{3})^{4})

\frac{d}{d x} (4 ln (x) + 2 cos (x) + x^{4})