What is the derivative of 11xe^x ?

The derivative of 11xe^x is 11(e^x+e^xx)

What is the first derivative of 11xe^x ?

The first derivative of 11xe^x is 11(e^x+e^xx)

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derivative of

11 x e^{x}

11 (e^{x} + e^{x} x)

Solution steps

\frac{d}{d x} (11 x e^{x})

Take the constant out:

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

= 11 \frac{d}{d x} (x e^{x})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = e^{x}

= 11 (\frac{d x}{d x} e^{x} + \frac{d}{d x} (e^{x}) x)

\frac{d x}{d x} = 1

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

= 11 (1 \cdot e^{x} + e^{x} x)

Simplify

= 11 (e^{x} + e^{x} x)

\frac{\partial}{\partial y} (5 x y)

\frac{d}{d x} (\frac{sin ( 2 x )}{sin ( 3 x )})

ln (x) \frac{d y}{d x} = \frac{y}{x}

\frac{\partial}{\partial y} (e^{x} + x cos (y))

25 y^{^{''}} - 4 y = 0

What is the derivative of 11xe^x ?
The derivative of 11xe^x is 11(e^x+e^xx)
What is the first derivative of 11xe^x ?
The first derivative of 11xe^x is 11(e^x+e^xx)