What is the derivative of f(x)=9x+13xe^x ?

The derivative of f(x)=9x+13xe^x is 9+13(e^x+e^xx)

What is the first derivative of f(x)=9x+13xe^x ?

The first derivative of f(x)=9x+13xe^x is 9+13(e^x+e^xx)

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derivative of

f (x) = 9 x + 13 x e^{x}

9 + 13 (e^{x} + e^{x} x)

Solution steps

\frac{d}{d x} (9 x + 13 x e^{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (9 x) + \frac{d}{d x} (13 x e^{x})

\frac{d}{d x} (9 x) = 9

\frac{d}{d x} (13 x e^{x}) = 13 (e^{x} + e^{x} x)

= 9 + 13 (e^{x} + e^{x} x)

\frac{\partial}{\partial z} (x^{2} e^{yz})

\frac{\partial}{\partial x} (sin (z) cos (x y))

x \to 0 lim (\frac{x ^{3} + 5 x}{x})

\int_{0}^{x} \frac{1}{t ^{2} - 25} d t

y^{^{'}} = y + 3 t e^{t}, y (0) = 4

What is the derivative of f(x)=9x+13xe^x ?
The derivative of f(x)=9x+13xe^x is 9+13(e^x+e^xx)
What is the first derivative of f(x)=9x+13xe^x ?
The first derivative of f(x)=9x+13xe^x is 9+13(e^x+e^xx)