Question

Which of the following correctly shows the derivation of d/dx(secx)?

A. d/dx(secx) = secx * tanx
B. d/dx(secx) = secx * cotx
C. d/dx(secx) = secx * cosx
D. d/dx(secx) = secx * cscx

Answer 1

To find the derivative of sec(x), use the chain rule and the derivative of sec(x) is sec(x) * tan(x).

Step-by-step explanation:

To find the derivative of sec(x), we can use the chain rule. The chain rule states that if we have a function of the form f(g(x)), then its derivative is given by f'(g(x)) * g'(x). In this case, f(u) = sec(u) and g(x) = x.

So, applying the chain rule, we have:

d/dx(sec(x)) = sec(x) * tan(x)

Therefore, the correct answer is A. d/dx(secx) = secx * tanx.