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Popular >

(d^2)/(dx^2)(x^7e^x)

Solution

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

Solution

e^{x} x^{7} + 14 e^{x} x^{6} + 42 e^{x} x^{5}

Solution steps

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

\frac{d}{d x} (x^{7} e^{x}) = 7 x^{6} e^{x} + e^{x} x^{7}

= \frac{d}{d x} (7 x^{6} e^{x} + e^{x} x^{7})

\frac{d}{d x} (7 x^{6} e^{x} + e^{x} x^{7}) = e^{x} x^{7} + 14 e^{x} x^{6} + 42 e^{x} x^{5}

= e^{x} x^{7} + 14 e^{x} x^{6} + 42 e^{x} x^{5}

Popular Examples

(d^2)/(dx^2)(sqrt(x^2+49))

\frac{d ^{2}}{d x ^{2}} (x^{2} + 49)

integral of cos(m)x

\int cos (m) x d x

(d^2)/(dx^2)((x^2+8)^9)

\frac{d ^{2}}{d x ^{2}} ((x^{2} + 8)^{9})

lcm f(x)=,5+4x-3x^2\at x lcm

f (x) =, 5 + 4 x - 3 x^{2} at x

integral of 7x^3(x-1)^{-4}

\int 7 x^{3} (x - 1)^{- 4} d x

Frequently Asked Questions (FAQ)

What is (d^2)/(dx^2)(x^7e^x) ?
The answer to (d^2)/(dx^2)(x^7e^x) is e^xx^7+14e^xx^6+42e^xx^5