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Popular >

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

Solution

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

Solution

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

Solution steps

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

Take the constant out:

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

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

Popular Examples

tangent of x^2+xy+2y^2=4,(-2,1)tangent of

x^{2} + x y + 2 y^{2} = 4, (- 2, 1)

9y^{''}+6y^'+y=0,y(-3)=-2,y^'(1)=-1

9 y^{^{''}} + 6 y^{^{'}} + y = 0, y (- 3) = - 2, y^{^{'}} (1) = - 1

derivative of x^2-xy

\frac{d}{d x} (x^{2} - x y)

y^'=1+x^2+y^2+x^2y^2

y^{^{'}} = 1 + x^{2} + y^{2} + x^{2} y^{2}

integral from 0 to 1 of y/(e^{2y)}

\int_{0}^{1} \frac{y}{e ^{2 y}} d y

Frequently Asked Questions (FAQ)

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