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Popular >

derivative of y=x^3-13x^2+48x+8

Solution

derivative of

y = x^{3} - 13 x^{2} + 48 x + 8

Solution

3 x^{2} - 26 x + 48

Solution steps

\frac{d}{d x} (x^{3} - 13 x^{2} + 48 x + 8)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (13 x^{2}) + \frac{d}{d x} (48 x) + \frac{d}{d x} (8)

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

\frac{d}{d x} (13 x^{2}) = 26 x

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

\frac{d}{d x} (8) = 0

= 3 x^{2} - 26 x + 48 + 0

Simplify

= 3 x^{2} - 26 x + 48

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Frequently Asked Questions (FAQ)

What is the derivative of y=x^3-13x^2+48x+8 ?
The derivative of y=x^3-13x^2+48x+8 is 3x^2-26x+48
What is the first derivative of y=x^3-13x^2+48x+8 ?
The first derivative of y=x^3-13x^2+48x+8 is 3x^2-26x+48