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Beliebt Rechnen >

derivative of 4x^2+2x+1n(x-3x^2-7x-3)

Lösung

\frac{d}{d x} (4 x^{2} + 2 x + 1 n (x) - 3 x^{2} - 7 x - 3)

Lösung

2 x + n - 5

Schritte zur Lösung

\frac{d}{d x} (4 x^{2} + 2 x + 1 \cdot n (x) - 3 x^{2} - 7 x - 3)

Vereinfache

4 x^{2} + 2 x + 1 \cdot n (x) - 3 x^{2} - 7 x - 3 : x^{2} + n x - 5 x - 3

= \frac{d}{d x} (x^{2} + n x - 5 x - 3)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (n x) - \frac{d}{d x} (5 x) - \frac{d}{d x} (3)

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

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

\frac{d}{d x} (5 x) = 5

\frac{d}{d x} (3) = 0

= 2 x + n - 5 - 0

Vereinfache

= 2 x + n - 5

Graph

Beliebte Beispiele

derivative y=4x^3(2-3x)

d er i v a t i v e y = 4 x^{3} (2 - 3 x)

derivative y=(t^3)/3

d er i v a t i v e y = \frac{t ^{3}}{3}

d/(dn)(i^{2n+3})

\frac{d}{d n} (i^{2 n + 3})

derivative y=(x^3)/3+(x^2)/2+x/4

d er i v a t i v e y = \frac{x ^{3}}{3} + \frac{x ^{2}}{2} + \frac{x}{4}

derivative y=ln((x+3)^2)

d er i v a t i v e y = ln ((x + 3)^{2})