DERIVATIVE OF NATURAL LOG OF SINX

We know the derivative of lnx, which is ¹⁄ₓ. And also, the derivative sinx is cosx.

(lnx)' = ¹⁄ₓ

(sinx)' = cosx

We can find the derivative of ln(sinx) using chain rule.

If y = ln(sinx), find ᵈʸ⁄d.

Let t = sinx.

Then, we have

y = lnt

By chain rule,

Substitute y = lnt and t = sinx.

Substitute t = sinx.

Therefore,

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. Digital SAT Math Problems and Solutions (Part - 161)

    May 11, 25 12:34 AM

    Digital SAT Math Problems and Solutions (Part - 161)

    Read More

  2. Quadratic Equation Problems with Solutions (Part - 4)

    May 10, 25 09:56 AM

    Quadratic Equation Problems with Solutions (Part - 4)

    Read More

  3. Digital SAT Math Problems and Solutions (Part - 160)

    May 10, 25 12:14 AM

    digitalsatmath202.png
    Digital SAT Math Problems and Solutions (Part - 160)

    Read More