Question

Match each function in (a)–(d) with its derivative in i–iv.

- a) f(x) = sin(x)
- b) f(x) = cos(x)
- c) f(x) = tan(x)
- d) f(x) = cot(x)

i. f'(x) = -csc²(x)
ii. f'(x) = sec(x)
iii. f'(x) = cos(x)
iv. f'(x) = tan(x

Answer 1

To match each function with its derivative, we need to know the derivatives of the trigonometric functions.

Step-by-step explanation:

To match each function with its derivative, we need to know the derivatives of the trigonometric functions. The derivatives for the given functions are as follows:

(a) f'(x) = cos(x)

(b) f'(x) = -sin(x)

(c) f'(x) = sec^2(x)

(d) f'(x) = -csc^2(x)

Therefore, the matching pairs are:

(a) with iii

(b) with i

(c) with ii

(d) with iv