If y = sec(3x), dy/dx = ?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $9.99Unlock all

Prepare for the AP Calculus BC Test. Study with flashcards and multiple choice questions, each question has hints and explanations. Maximize your exam performance!

Multiple Choice

If y = sec(3x), dy/dx = ?

Explanation:
When differentiating secant of a inner function, use the chain rule: d/dx [sec(u)] = sec(u) tan(u) · du/dx. Here u = 3x, so du/dx = 3. Put it together: dy/dx = 3 sec(3x) tan(3x). The 3 comes from the inner function 3x, and the derivative of sec is sec times tan. The other forms would come from misapplying the derivative rules for tan or cosecant, or dropping the inner-derivative factor.

When differentiating secant of a inner function, use the chain rule: d/dx [sec(u)] = sec(u) tan(u) · du/dx. Here u = 3x, so du/dx = 3. Put it together: dy/dx = 3 sec(3x) tan(3x). The 3 comes from the inner function 3x, and the derivative of sec is sec times tan. The other forms would come from misapplying the derivative rules for tan or cosecant, or dropping the inner-derivative factor.

More Multiple Choice Questions
Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy