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Popular >

derivative of 2x^4+x^3+3x^2

Solution

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

Solution

8 x^{3} + 3 x^{2} + 6 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (2 x^{4}) = 8 x^{3}

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

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

= 8 x^{3} + 3 x^{2} + 6 x

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(x+2)^2y^'+3(x+2)y=4

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Frequently Asked Questions (FAQ)

What is the derivative of 2x^4+x^3+3x^2 ?
The derivative of 2x^4+x^3+3x^2 is 8x^3+3x^2+6x
What is the first derivative of 2x^4+x^3+3x^2 ?
The first derivative of 2x^4+x^3+3x^2 is 8x^3+3x^2+6x