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Popular >

derivative of f(x)=2x^3-21x^2+72x-5

Solution

derivative of

f (x) = 2 x^{3} - 21 x^{2} + 72 x - 5

Solution

6 x^{2} - 42 x + 72

Solution steps

\frac{d}{d x} (2 x^{3} - 21 x^{2} + 72 x - 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x^{3}) - \frac{d}{d x} (21 x^{2}) + \frac{d}{d x} (72 x) - \frac{d}{d x} (5)

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

\frac{d}{d x} (21 x^{2}) = 42 x

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

\frac{d}{d x} (5) = 0

= 6 x^{2} - 42 x + 72 - 0

Simplify

= 6 x^{2} - 42 x + 72

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=2x^3-21x^2+72x-5 ?
The derivative of f(x)=2x^3-21x^2+72x-5 is 6x^2-42x+72
What is the first derivative of f(x)=2x^3-21x^2+72x-5 ?
The first derivative of f(x)=2x^3-21x^2+72x-5 is 6x^2-42x+72