The expression for is .
Further explanation:
Given:
The expression is .
Concept used:
Implicit Differentiation is used to differentiate the function which contains as a function of or is a function of .
The implicit differentiation is useful to obtain the expression of and .
The chain rule is the best tool in the implicit differentiation of the any expression.
The quotient rule of differentiation is as follows:
Calculation:
Differentiate the equation with respect to .
Arrange the above equation to obtain the expression of .
Simplified the above equation to obtain the value of .
Again differentiate the above equation with respect to the as follows:
Apply the quotient rule of differentiation to obtain the value of .
Substitute in the above equation.
Substitute in the above equation.
Therefore, the expression of by the implicit differentiation is .
Learn more:
1. Function: brainly.com/question/2142762
2. Quadratic equation: brainly.com/question/1332667
Answer details:
Grade: Senior school.
Subject: Mathematics.
Chapter: Differentiation.
Keywords: Implicit differentiation, explicit differentiation, chain rule, quotient rule of differentiation, the value of y', the value of y'', with respect to x, chain rule.