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Popular >

derivative of x^3+5x^2-63x-140

Solution

derivative of

x^{3} + 5 x^{2} - 63 x - 140

Solution

3 x^{2} + 10 x - 63

Solution steps

\frac{d}{d x} (x^{3} + 5 x^{2} - 63 x - 140)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) + \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (63 x) - \frac{d}{d x} (140)

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

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (63 x) = 63

\frac{d}{d x} (140) = 0

= 3 x^{2} + 10 x - 63 - 0

Simplify

= 3 x^{2} + 10 x - 63

Popular Examples

25y^{''}-40y^'+16y=0,y(0)=3,y^'(0)=-2

25 y^{^{''}} - 40 y^{^{'}} + 16 y = 0, y (0) = 3, y^{^{'}} (0) = - 2

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\int cos (5 x) d (5 x) d x

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(\partial)/(\partial x)({f}(x){g}(x))

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Frequently Asked Questions (FAQ)

What is the derivative of x^3+5x^2-63x-140 ?
The derivative of x^3+5x^2-63x-140 is 3x^2+10x-63
What is the first derivative of x^3+5x^2-63x-140 ?
The first derivative of x^3+5x^2-63x-140 is 3x^2+10x-63