Question

Find the differential dy for y = cos(x).

a) -sin(x)
b) sin(x)
c) -cos(x)
d) cos(x)

Answer 1

The differential dy for y = cos(x) is -sin(x), which is derived by differentiating the cosine function with respect to x.

Step-by-step explanation:

The question asks us to find the differential dy for the function y = cos(x). In calculus, the differential of a function represents how the function changes as its input changes, which can be found using differentiation. The derivative of the cosine function, cos(x), with respect to x, is -sin(x). Therefore, the differential dy for y = cos(x) is -sin(x).

The correct answer is (a) -sin(x).