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Popular >

derivative of x^3-3x^2+5x-2

Solution

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

Solution

3 x^{2} - 6 x + 5

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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

= 3 x^{2} - 6 x + 5 - 0

Simplify

= 3 x^{2} - 6 x + 5

Popular Examples

derivative of ae^x+b/x+c/(x^2)

\frac{d}{d x} (a e^{x} + \frac{b}{x} + \frac{c}{x ^{2}})

tangent of f(x)=7x^2-x^3,\at x=1 tangent of

f (x) = 7 x^{2} - x^{3}, at x = 1

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\int_{0}^{1} ln (4 + x^{2}) d x

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\int - u cos (2 u) d u

integral of 1/([(x^2+9)^2])

\int \frac{1}{[ ( x ^{2} + 9 ) ^{2} ]} d x

Frequently Asked Questions (FAQ)

What is the derivative of x^3-3x^2+5x-2 ?
The derivative of x^3-3x^2+5x-2 is 3x^2-6x+5
What is the first derivative of x^3-3x^2+5x-2 ?
The first derivative of x^3-3x^2+5x-2 is 3x^2-6x+5