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Beliebt Rechnen >

derivative of (a+bx^3)

Lösung

\frac{d}{d x} ((a + b x)^{3})

Lösung

3 (a + b x)^{2} b

Schritte zur Lösung

\frac{d}{d x} ((a + b x)^{3})

Wende die Kettenregel an:

3 (a + b x)^{2} \frac{d}{d x} (a + b x)

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

\frac{d}{d x} (a + b x) = b

= 3 (a + b x)^{2} b

Graph

Beliebte Beispiele

limit as x approaches 2 of x^2-4x+1

x \to 2 lim (x^{2} - 4 x + 1)

integral of 1/((1+x^4))

\int \frac{1}{( 1 + x ^{4} )} d x

integral of (x^4)/((7+x^5)^2)

\int \frac{x ^{4}}{( 7 + x ^{5} ) ^{2}} d x

sum from n=2 to infinity of (3^n)/(12^n)

n = 2 \sum \infty \frac{3 ^{n}}{1 2 ^{n}}

4y^{''}-4y^'+y=8e^{x/2}

4 y^{^{''}} - 4 y^{^{'}} + y = 8 e^{\frac{x}{2}}