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gamomaniea1

Answered question

2021-12-05

Find derivatives of the functions defined as follows:

y = 1.2 e^{5 x}

Answer & Explanation

Steacensen69

Beginner2021-12-06Added 15 answers

Step 1
the given function is:

y = 1.2 e^{5 x}

we have to find the derivative of the given function.
Step 2
the given function is

y = 1.2 e^{5 x}

differentiating the both sides of the function with respect to x, we get

\frac{d y}{d x} = \frac{d}{d x} (1.2 e^{5 x})

= 1.2 \frac{d}{d x} (e^{5 x})

= 1.2 \times e^{5 x} \times \frac{d}{d x} (5 x)

= 1.2 \times e^{5 x} \times 5 \times \frac{d}{d x} (x)

= 1.2 \times e^{5 x} \times 5 \times 1

= 1.2 \times 5 \times e^{5 x}

= 6 e^{5 x}

therefore the derivative of the given function

y = 1.2 e^{5 x} i s 6 e^{5 x}

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