What is Dx(x^5sin(x)cos(x)) ?

The solution to Dx(x^5sin(x)cos(x)) is Dx^6sin(x)cos(x)

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simplify Dx(x^5sin(x)cos(x))

simplify

D x (x^{5} sin (x) cos (x))

D x^{6} sin (x) cos (x)

Solution steps

D x (x^{5} sin (x) cos (x))

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x x^{5} = x^{1 + 5}

= D x^{1 + 5} sin (x) cos (x)

Add the numbers:

1 + 5 = 6

= D x^{6} sin (x) cos (x)

e^{- 0.302 \cdot 5}

(53) \cdot 3

e^{- \frac{x π}{1 - x ^{2}}}

\frac{e ^{15}}{e ^{15}}

\frac{- 48}{24}

What is Dx(x^5sin(x)cos(x)) ?
The solution to Dx(x^5sin(x)cos(x)) is Dx^6sin(x)cos(x)