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Popular >

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

Solution

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

Solution

5 x^{4} + 6 x^{2} - 2 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (x^{5}) = 5 x^{4}

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

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

= 5 x^{4} + 6 x^{2} - 2 x

Graph

Popular Examples

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\frac{d}{d x} (2 + cot^{2} (x))

area x^2-5x+1,(-3,6)area

x^{2} - 5 x + 1, (- 3, 6)

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\int \frac{1}{( sin ( x ) ) ^{5} ( cos ( x ) ) ^{5}} d x

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\frac{1}{19 s ^{2} + 5 s + 19990}

(\partial)/(\partial s)(arctan(rs))

\frac{\partial}{\partial s} (arctan (rs))

Frequently Asked Questions (FAQ)

What is the derivative of x^5+2x^3-x^2 ?
The derivative of x^5+2x^3-x^2 is 5x^4+6x^2-2x
What is the first derivative of x^5+2x^3-x^2 ?
The first derivative of x^5+2x^3-x^2 is 5x^4+6x^2-2x