What is the derivative of ax^3+bx^2+cx ?

The derivative of ax^3+bx^2+cx is 3ax^2+2bx+c

What is the first derivative of ax^3+bx^2+cx ?

The first derivative of ax^3+bx^2+cx is 3ax^2+2bx+c

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

3 a x^{2} + 2 b x + c

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

= 3 a x^{2} + 2 b x + c

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

\frac{\partial ^{2}}{\partial x \partial y} (x^{2} - e^{y^{2}})

\int_{0}^{y^{3}} x e^{\frac{- x}{y}} d x

\int - 2 - \frac{2}{x} d x

\frac{d y}{d x} = \frac{2 x ^{2}}{y}

What is the derivative of ax^3+bx^2+cx ?
The derivative of ax^3+bx^2+cx is 3ax^2+2bx+c
What is the first derivative of ax^3+bx^2+cx ?
The first derivative of ax^3+bx^2+cx is 3ax^2+2bx+c