Question

Differentiate. y = In (7x2 - 5x + 6) y'a y'

Answer 1

Given that,

y = ln(7x^2 - 5x + 6)

Now, we have to calculate the derivative of that. The derivative of ln(x) can be written as:

y' = 1/x * d/dx

hence, we can write the above equation as:

`(1)/(7x^2-5x+6)\cdot(d)/(dx)(7x^2-5x+6)`
`(1)/(7x^2-5x+6)\cdot(14x^{}-5)`

As d/dx(x^n) = nx^(n-1)

and

d/dx (constant) = 0

Hence,

y' = (14x-5)/ (7x^2 - 5x + 6)