What is the derivative of e^x(x-5+5) ?

The derivative of e^x(x-5+5) is e^xx-4e^x

What is the first derivative of e^x(x-5+5) ?

The first derivative of e^x(x-5+5) is e^xx-4e^x

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

e^{x} x - 4 e^{x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (e^{x} (x - 5)) = e^{x} x - 4 e^{x}

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

= e^{x} x - 4 e^{x} + 0

Simplify

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

x \frac{d y}{d x} - y = 6 x^{2}

y^{^{''}} + 2 y^{^{'}} - 3 y = e^{t} + e^{- t}

\int_{0}^{64} \frac{1}{64 - x} d x

x, 4 x, - x + 22

\frac{d}{d x} (c x ln (x))

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