What is the derivative of 4e^{t/2} ?

The derivative of 4e^{t/2} is 2e^{t/2}

What is the first derivative of 4e^{t/2} ?

The first derivative of 4e^{t/2} is 2e^{t/2}

Popular >

derivative of

4 e^{\frac{t}{2}}

2 e^{\frac{t}{2}}

Solution steps

\frac{d}{d t} (4 e^{\frac{t}{2}})

Take the constant out:

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

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

Apply the chain rule:

e^{\frac{t}{2}} \frac{d}{d t} (\frac{t}{2})

= e^{\frac{t}{2}} \frac{d}{d t} (\frac{t}{2})

\frac{d}{d t} (\frac{t}{2}) = \frac{1}{2}

= 4 e^{\frac{t}{2}} \frac{1}{2}

Simplify

4 e^{\frac{t}{2}} \frac{1}{2} : 2 e^{\frac{t}{2}}

= 2 e^{\frac{t}{2}}

\int \frac{1}{36 - x ^{2}} d x

\int sin^{3} (6 x) cos^{- 2} (6 x) d x

\int \frac{I n x}{x} d x

y^{^{''}} + 9 y^{^{'}} + 8 y = 0, y (0) = 1, y^{^{'}} (0) = 0

\int_{1}^{\infty} x e^{- 9 x} d x

What is the derivative of 4e^{t/2} ?
The derivative of 4e^{t/2} is 2e^{t/2}
What is the first derivative of 4e^{t/2} ?
The first derivative of 4e^{t/2} is 2e^{t/2}