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Popular >

derivative of 3x^2+e^{2x}+pi^2

Solution

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

Solution

6 x + 2 e^{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

\frac{d}{d x} (π^{2}) = 0

= 6 x + e^{2 x} \cdot 2 + 0

Simplify

= 6 x + 2 e^{2 x}

Popular Examples

sum from n=1 to infinity of n/(6n^2-5)

n = 1 \sum \infty \frac{n}{6 n ^{2} - 5}

limit as x approaches+4-of (2x)/(16-x^2)

x \to + 4 - lim (\frac{2 x}{16 - x ^{2}})

y^{^{'}} = y^{2} (1 + x^{3})

integral of (3x+2e^x)^2

\int (3 x + 2 e^{x})^{2} d x

(\partial)/(\partial x)(5sqrt(9x^2+16y^2))

\frac{\partial}{\partial x} (5 9 x^{2} + 16 y^{2})

Frequently Asked Questions (FAQ)

What is the derivative of 3x^2+e^{2x}+pi^2 ?
The derivative of 3x^2+e^{2x}+pi^2 is 6x+2e^{2x}
What is the first derivative of 3x^2+e^{2x}+pi^2 ?
The first derivative of 3x^2+e^{2x}+pi^2 is 6x+2e^{2x}