Question

Consider a level curve f(x, y) = c defining y implicitly as a function y(x) of x. By using the chain rule.

a) Multivariable calculus
b) Differential equations
c) Vector calculus
d) Real analysis

Answer 1

The subject of this question is Multivariable Calculus. When we have a level curve f(x, y) = c defining y implicitly as a function y(x) of x, we can use the chain rule in multivariable calculus to find the derivative dy/dx.

Step-by-step explanation:

The subject of this question is Multivariable Calculus.

When we have a level curve f(x, y) = c defining y implicitly as a function y(x) of x, we can use the chain rule in multivariable calculus to find the derivative dy/dx. The chain rule states that if z is a function of y, and y is a function of x, then z is a function of x and its derivative dz/dx can be found using the product of the derivatives dz/dy and dy/dx.

Therefore, the correct answer for this question is a) Multivariable calculus.