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Popular >

derivative of xe^x+x-5e^x-5

Solution

\frac{d}{d x} (x e^{x} + x - 5 e^{x} - 5)

Solution

e^{x} x - 4 e^{x} + 1

Solution steps

\frac{d}{d x} (x e^{x} + x - 5 e^{x} - 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x e^{x}) + \frac{d x}{d x} - \frac{d}{d x} (5 e^{x}) - \frac{d}{d x} (5)

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

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

\frac{d}{d x} (5 e^{x}) = 5 e^{x}

\frac{d}{d x} (5) = 0

= e^{x} + e^{x} x + 1 - 5 e^{x} - 0

Simplify

= e^{x} x - 4 e^{x} + 1

Popular Examples

derivative of y=xsin(2/x)derivative of

y = x sin (\frac{2}{x})

integral of 4t+1

\int 4 t + 1 d t

derivative of (x+9)/(x^2-7x+1)derivative of

\frac{x + 9}{x ^{2} - 7 x + 1}

(\partial)/(\partial x)(7x^{5y})

\frac{\partial}{\partial x} (7 x^{5 y})

derivative of 8/(|x-2|^3)

\frac{d}{d x} (\frac{8}{∣ x - 2 ∣ ^{3}})

Frequently Asked Questions (FAQ)

What is the derivative of xe^x+x-5e^x-5 ?
The derivative of xe^x+x-5e^x-5 is e^xx-4e^x+1
What is the first derivative of xe^x+x-5e^x-5 ?
The first derivative of xe^x+x-5e^x-5 is e^xx-4e^x+1