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Popular >

derivative of 2x^3-3x^2-72x+15

Solution

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

Solution

6 x^{2} - 6 x - 72

Solution steps

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

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} (72 x) + \frac{d}{d x} (15)

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

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

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

\frac{d}{d x} (15) = 0

= 6 x^{2} - 6 x - 72 + 0

Simplify

= 6 x^{2} - 6 x - 72

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\frac{d}{d x} (\frac{1}{4} ln (cos (4 x)))

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\int \frac{1}{1 + e ^{x}} d x

area-x^2+10x-16,2x-4 area

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\int \frac{1}{x ^{\frac{7}{2}}} d x

derivative of (f(x(4x))^2+5)

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

Frequently Asked Questions (FAQ)

What is the derivative of 2x^3-3x^2-72x+15 ?
The derivative of 2x^3-3x^2-72x+15 is 6x^2-6x-72
What is the first derivative of 2x^3-3x^2-72x+15 ?
The first derivative of 2x^3-3x^2-72x+15 is 6x^2-6x-72