If ln y = (ln x)2 + 2, then find dy / dx in terms of x and y.

 The required value of is

Step-by-step explanation:   We are given to find the value of from the following equation :

Differentiating both sides of equation (i) with respect to x, we have

Thus, the required value of in terms of x and y is .

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

= ← substitute values

= ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2