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Popular >

derivative of f(x)=3x^3+15x^2+29x+3

Solution

derivative of

f (x) = 3 x^{3} + 15 x^{2} + 29 x + 3

Solution

9 x^{2} + 30 x + 29

Solution steps

\frac{d}{d x} (3 x^{3} + 15 x^{2} + 29 x + 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 x^{3}) + \frac{d}{d x} (15 x^{2}) + \frac{d}{d x} (29 x) + \frac{d}{d x} (3)

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

\frac{d}{d x} (15 x^{2}) = 30 x

\frac{d}{d x} (29 x) = 29

\frac{d}{d x} (3) = 0

= 9 x^{2} + 30 x + 29 + 0

Simplify

= 9 x^{2} + 30 x + 29

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\int \frac{25 x ^{2} - 64}{x ^{3}} d x

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\int 4 ln (t) d t

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f (x) = \frac{x}{9 x ^{2} - 1}

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=3x^3+15x^2+29x+3 ?
The derivative of f(x)=3x^3+15x^2+29x+3 is 9x^2+30x+29
What is the first derivative of f(x)=3x^3+15x^2+29x+3 ?
The first derivative of f(x)=3x^3+15x^2+29x+3 is 9x^2+30x+29