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Popular >

derivative of f(x)=-x^3+x^2+4x-2

Solution

derivative of

f (x) = - x^{3} + x^{2} + 4 x - 2

Solution

- 3 x^{2} + 2 x + 4

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (4 x) = 4

\frac{d}{d x} (2) = 0

= - 3 x^{2} + 2 x + 4 - 0

Simplify

= - 3 x^{2} + 2 x + 4

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=-x^3+x^2+4x-2 ?
The derivative of f(x)=-x^3+x^2+4x-2 is -3x^2+2x+4
What is the first derivative of f(x)=-x^3+x^2+4x-2 ?
The first derivative of f(x)=-x^3+x^2+4x-2 is -3x^2+2x+4