Question

please solve this with complete solution ​

Answer 1

Solution

Given :-

• Let, y = (3x-1)/(2x+1)

Find :-

• Derivative of y

Explanation

We know,

Derivative of p/q respect to x

So, Will be = (q* dp/dx - p * dq/dx )/q²

Then,

Derivative of y respect to x be

==> dy/dx = [(2x+1)*d(3x-1)/dx - (3x-1)*d(2x+1)/(3x-1)]/(2x+1)²

==> dy/dx = ([2x+1)*3 - (3x-1)*2]/(2x+1)²

==> dy/dx = (6x+3-6x+2)/(2x+1)²

==>dy/dx = 5/(2x+1)² [Ans]

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Some Important Formula

★ d(a^n)/dx = n * a^(n-1)

★ d(e^x)/dx = e^x

★ d(p/q)/dx = (q*dp/dx - p * dq/dx)/q²