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Popular >

(d^2)/(dx^2)(x^6e^x)

Solution

\frac{d ^{2}}{d x ^{2}} (x^{6} e^{x})

Solution

e^{x} x^{6} + 12 e^{x} x^{5} + 30 e^{x} x^{4}

Solution steps

\frac{d ^{2}}{d x ^{2}} (x^{6} e^{x})

\frac{d}{d x} (x^{6} e^{x}) = 6 x^{5} e^{x} + e^{x} x^{6}

= \frac{d}{d x} (6 x^{5} e^{x} + e^{x} x^{6})

\frac{d}{d x} (6 x^{5} e^{x} + e^{x} x^{6}) = e^{x} x^{6} + 12 e^{x} x^{5} + 30 e^{x} x^{4}

= e^{x} x^{6} + 12 e^{x} x^{5} + 30 e^{x} x^{4}

Popular Examples

integral from 0 to 1 of 7

\int_{0}^{1} 7

(\partial)/(\partial x)((x+{v}(x,t)t)^3)

\frac{\partial}{\partial x} ((x + v (x, t) t)^{3})

limit as x approaches-3 of-x^2+6x-1

x \to - 3 lim (- x^{2} + 6 x - 1)

sum from n=1 to infinity of 8/(5^n)

n = 1 \sum \infty \frac{8}{5 ^{n}}

derivative of (4x^2-7x+6/(3x+5))

\frac{d}{d x} (\frac{4 x ^{2} - 7 x + 6}{3 x + 5})

Frequently Asked Questions (FAQ)

What is (d^2)/(dx^2)(x^6e^x) ?
The answer to (d^2)/(dx^2)(x^6e^x) is e^xx^6+12e^xx^5+30e^xx^4