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Popular >

simplify (xe^{3x})xy'(x)

Solution

simplify

(x e^{3 x}) x y^{'} (x)

Solution

e^{3 x} x^{2} y' (x)

Solution steps

(x e^{3 x}) x y^{'} (x)

Apply exponent rule:

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

xx = x^{1 + 1}

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

Add the numbers:

1 + 1 = 2

= e^{3 x} x^{2} y^{^{'}} (x)

Popular Examples

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[(- 9 x + 20)^{15}]^{^{'}}

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4 π (3 \cdot 4 0^{2} 4)

simplify (36e^{-x}cos(2x))(sin(3x))simplify

(36 e^{- x} cos (2 x)) (sin (3 x))

simplify sqrt(((5)^2-(12)^2)^{-1)}simplify

((5)^{2} - (12)^{2})^{- 1}

Frequently Asked Questions (FAQ)

What is (xe^{3x})xy'(x) ?
The solution to (xe^{3x})xy'(x) is e^{3x}x^2y'(x)