Explained: "Find derivatives of the functions defined as follows:..."

adOrmaPem6r

Answered question

2021-12-07

Find derivatives of the functions defined as follows:

y = - 4 e^{- 0.3 x}

Traidnew

Beginner2021-12-08Added 14 answers

Step 1
Our Aim is to find the derivative of the function given below:−

y = - 4 e^{- 0.3 x}

...(i)
Step 2
Considering the expression given by equation−(i), we have:−

y = - 4 e^{- 0.3 x}

On finding the derivative, we have:−

\frac{d y}{d x} = \frac{d}{d x} (- 4 e^{- 0.3 x})

(Taking out constant)

\Rightarrow \frac{d y}{d x} = - 4 \frac{d}{d x} (e^{- 0.3 x})

Since the derivative of

e^{x} i s e^{x}

\Rightarrow \frac{d y}{d x} = - 4 \times e^{- 0.3 x} \times (- 0.3)

Answer

\Rightarrow \frac{d y}{d x} = 1.2 e^{- 0.3 x}

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?