What is the derivative of 2x^3+3x^2-120x ?

The derivative of 2x^3+3x^2-120x is 6x^2+6x-120

What is the first derivative of 2x^3+3x^2-120x ?

The first derivative of 2x^3+3x^2-120x is 6x^2+6x-120

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\frac{d}{d x} (2 x^{3} + 3 x^{2} - 120 x)

6 x^{2} + 6 x - 120

Solution steps

\frac{d}{d x} (2 x^{3} + 3 x^{2} - 120 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{3}) + \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (120 x)

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (120 x) = 120

= 6 x^{2} + 6 x - 120

\frac{d v}{d y} = \frac{v - y ^{3}}{v - y}

f (x) = 25 - x^{2}

x (4 x + 2 y) y^{^{'}} + y (12 x + 2 y) = 0

\int_{- 1}^{1} e^{y} - y^{2} - 2 d y

y = x^{4} + 3 x^{3} - 2 x - 2

What is the derivative of 2x^3+3x^2-120x ?
The derivative of 2x^3+3x^2-120x is 6x^2+6x-120
What is the first derivative of 2x^3+3x^2-120x ?
The first derivative of 2x^3+3x^2-120x is 6x^2+6x-120