What is the derivative of 4x^3-156x^2+1512x ?

The derivative of 4x^3-156x^2+1512x is 12x^2-312x+1512

What is the first derivative of 4x^3-156x^2+1512x ?

The first derivative of 4x^3-156x^2+1512x is 12x^2-312x+1512

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\frac{d}{d x} (4 x^{3} - 156 x^{2} + 1512 x)

12 x^{2} - 312 x + 1512

Solution steps

\frac{d}{d x} (4 x^{3} - 156 x^{2} + 1512 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (156 x^{2}) + \frac{d}{d x} (1512 x)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (156 x^{2}) = 312 x

\frac{d}{d x} (1512 x) = 1512

= 12 x^{2} - 312 x + 1512

\frac{d}{d x} (y e^{x^{2}})

6 cos (3 x)

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

\int \frac{( x ^{2} - 16 )}{x ^{3}} d x

y^{^{'}} = 6 y + 2 t - 4, y (0) = 3

What is the derivative of 4x^3-156x^2+1512x ?
The derivative of 4x^3-156x^2+1512x is 12x^2-312x+1512
What is the first derivative of 4x^3-156x^2+1512x ?
The first derivative of 4x^3-156x^2+1512x is 12x^2-312x+1512