What is the derivative of x^3-15x^2+72x+12 ?

The derivative of x^3-15x^2+72x+12 is 3x^2-30x+72

What is the first derivative of x^3-15x^2+72x+12 ?

The first derivative of x^3-15x^2+72x+12 is 3x^2-30x+72

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derivative of

x^{3} - 15 x^{2} + 72 x + 12

3 x^{2} - 30 x + 72

Solution steps

\frac{d}{d x} (x^{3} - 15 x^{2} + 72 x + 12)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (15 x^{2}) + \frac{d}{d x} (72 x) + \frac{d}{d x} (12)

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

\frac{d}{d x} (15 x^{2}) = 30 x

\frac{d}{d x} (72 x) = 72

\frac{d}{d x} (12) = 0

= 3 x^{2} - 30 x + 72 + 0

Simplify

= 3 x^{2} - 30 x + 72

\frac{d}{d x} (\frac{1}{\frac{1}{x}})

\int_{0}^{3} 2 π y (9 - y^{2}) d y

(2, - 2), (9, 3)

y^{(\frac{1}{2})} y^{^{'}} + y^{(\frac{3}{2})} = 1

4 arcsin (x^{2})

What is the derivative of x^3-15x^2+72x+12 ?
The derivative of x^3-15x^2+72x+12 is 3x^2-30x+72
What is the first derivative of x^3-15x^2+72x+12 ?
The first derivative of x^3-15x^2+72x+12 is 3x^2-30x+72