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Popular >

derivative of A(e^xx+2e^x)

Solution

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

Solution

A (e^{x} x + 3 e^{x})

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Sum/Difference Rule:

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

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

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

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

= A (e^{x} x + e^{x} + 2 e^{x})

Simplify

= A (e^{x} x + 3 e^{x})

Popular Examples

area y= 1/25 x^2,x=5,y=0 area

y = \frac{1}{25} x^{2}, x = 5, y = 0

derivative of (2x^2-1)/(xsqrt(1+x^2))derivative of

\frac{2 x ^{2} - 1}{x 1 + x ^{2}}

derivative of (sqrt(x-1))+(2x-2)derivative of

(x - 1) + (2 x - 2)

(\partial)/(\partial x)(xcos(x+2y)*2)

\frac{\partial}{\partial x} (x cos (x + 2 y) \cdot 2)

derivative of x*cos(y)

\frac{d}{d x} (x \cdot cos (y))

Frequently Asked Questions (FAQ)

What is the derivative of A(e^xx+2e^x) ?
The derivative of A(e^xx+2e^x) is A(e^xx+3e^x)
What is the first derivative of A(e^xx+2e^x) ?
The first derivative of A(e^xx+2e^x) is A(e^xx+3e^x)