Question

e^3logx differentiation​

Answer 1

Answer:

3 xSquare

Step-by-step explanation:

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Answer 2

Answer:

Basic Formulas:

→ 3.log x = log x³

→ d ( eˣ ) / dx = eˣ

→ e^log x = x

According to the question we are required to find the derivative of:

• e^3.logx

Applying the basic formula (1) we get,

→ e^3.log x = e^log x³

Differentiating we get,

⇒ d ( e^log x³ ) / dx

Applying chain rule we get,

→ e^log x³. 1/x³. 3x²

Therefore the final derivative of the given question is:

→ (3e^log x³)/x .

Now in Maths we generally consider log and ln to be same. Therefore applying basic formula (3) we get,

→ 3 ( e^log x³ ) / x

→ 3 ( x³ ) / x

→ 3x²