Answer:
Step-by-step explanation:
Given the equation 4x²+ 49y² = 196
a) Differentiating implicitly with respect to y, we have;
b) To solve the equation explicitly for y and differentiate to get dy/dx in terms of x,
First let is make y the subject of the formula from the equation;
If 4x²+ 49y² = 196
49y² = 196 - 4x²
Differentiating y with respect to x using the chain rule;
Let
c) From the solution of the implicit differentiation in (a)
Substituting into the equation to confirm the answer of (b) can be shown as follows
This shows that the answer in a and b are consistent.
