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Popular >

derivative of 7x^3+sin(x)+x^2e^2

Solution

derivative of

7 x^{3} + sin (x) + x^{2} e^{2}

Solution

21 x^{2} + cos (x) + 2 e^{2} x

Solution steps

\frac{d}{d x} (7 x^{3} + sin (x) + x^{2} e^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 x^{3}) + \frac{d}{d x} (sin (x)) + \frac{d}{d x} (x^{2} e^{2})

\frac{d}{d x} (7 x^{3}) = 21 x^{2}

\frac{d}{d x} (sin (x)) = cos (x)

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

= 21 x^{2} + cos (x) + 2 e^{2} x

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the derivative of 7x^3+sin(x)+x^2e^2 ?
The derivative of 7x^3+sin(x)+x^2e^2 is 21x^2+cos(x)+2e^2x
What is the first derivative of 7x^3+sin(x)+x^2e^2 ?
The first derivative of 7x^3+sin(x)+x^2e^2 is 21x^2+cos(x)+2e^2x