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Popular >

derivative of f(x)=(1+3x^4)^2+3x^3

Solution

derivative of

f (x) = (1 + 3 x^{4})^{2} + 3 x^{3}

Solution

24 x^{3} (1 + 3 x^{4}) + 9 x^{2}

Solution steps

\frac{d}{d x} ((1 + 3 x^{4})^{2} + 3 x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} ((1 + 3 x^{4})^{2}) + \frac{d}{d x} (3 x^{3})

\frac{d}{d x} ((1 + 3 x^{4})^{2}) = 24 x^{3} (1 + 3 x^{4})

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

= 24 x^{3} (1 + 3 x^{4}) + 9 x^{2}

Graph

Popular Examples

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y^{^{''}} + y^{^{'}} + 2 y = 0, y (0) = 2, y^{^{'}} (0) = 0

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\frac{8}{s ^{2} + 1}

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(1+3x^4)^2+3x^3 ?
The derivative of f(x)=(1+3x^4)^2+3x^3 is 24x^3(1+3x^4)+9x^2
What is the first derivative of f(x)=(1+3x^4)^2+3x^3 ?
The first derivative of f(x)=(1+3x^4)^2+3x^3 is 24x^3(1+3x^4)+9x^2