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Popular >

derivative of f(x)=-x^3+15x^2-48x+450

Solution

derivative of

f (x) = - x^{3} + 15 x^{2} - 48 x + 450

Solution

- 3 x^{2} + 30 x - 48

Solution steps

\frac{d}{d x} (- x^{3} + 15 x^{2} - 48 x + 450)

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} (48 x) + \frac{d}{d x} (450)

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

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

\frac{d}{d x} (48 x) = 48

\frac{d}{d x} (450) = 0

= - 3 x^{2} + 30 x - 48 + 0

Simplify

= - 3 x^{2} + 30 x - 48

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=-x^3+15x^2-48x+450 ?
The derivative of f(x)=-x^3+15x^2-48x+450 is -3x^2+30x-48
What is the first derivative of f(x)=-x^3+15x^2-48x+450 ?
The first derivative of f(x)=-x^3+15x^2-48x+450 is -3x^2+30x-48