What is the derivative of 4e^{x+2}+e^{-3} ?

The derivative of 4e^{x+2}+e^{-3} is 4e^{x+2}

What is the first derivative of 4e^{x+2}+e^{-3} ?

The first derivative of 4e^{x+2}+e^{-3} is 4e^{x+2}

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derivative of

4 e^{x + 2} + e^{- 3}

4 e^{x + 2}

Solution steps

\frac{d}{d x} (4 e^{x + 2} + e^{- 3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 e^{x + 2}) + \frac{d}{d x} (e^{- 3})

\frac{d}{d x} (4 e^{x + 2}) = 4 e^{x + 2}

\frac{d}{d x} (e^{- 3}) = 0

= 4 e^{x + 2} + 0

Simplify

= 4 e^{x + 2}

x y^{^{'}} + y = y^{2}, y (1) = - 15

y = 28 - x^{2}, y = 3 x, y = \frac{3}{5} x

\int (\frac{16}{2} x^{3} + 12 x^{5} - 2 x + 1) d x

f (x) = 5 e^{x} (cos (x) - sin (x))

\frac{\partial}{\partial x} ((x^{2} + y^{2})^{0.5})

What is the derivative of 4e^{x+2}+e^{-3} ?
The derivative of 4e^{x+2}+e^{-3} is 4e^{x+2}
What is the first derivative of 4e^{x+2}+e^{-3} ?
The first derivative of 4e^{x+2}+e^{-3} is 4e^{x+2}