allery$\dfrac{d}{dx}(\tan x)$ equals:
A$\cot x$
B$\sec x \tan x$
C$-\sec^2 x$
D$\sec^2 x$
Answer & Solution
Correct answer: D. $\sec^2 x$
$\tan x = \sin x/\cos x$
quotient rule gives $(cos^2 + sin^2)/\cos^2 x = 1/\cos^2 x = \sec^2 x$.
Keep practising Unit 2: Differentiation and Fundamental Derivative Rules
Browse all Unit 2: Differentiation and Fundamental Derivative Rules questions for AP Calculus AB, or explore more Mathematics topics.
Related questions
$ in(180° - \theta)$ equals:A polynomial of degree 2 is called a:The common difference of the AP 3, 1, −1, −3, … is:If an AP has first term $a=6$ and common difference $d=-3$, which of the following is the The list $-1.0, -1.5, -2.0, -2.5, \ldots$ is an AP. What is its common difference?The square of any odd integer, when divided by 8, leaves remainderThe common difference of the AP 3, 1, −1, −3, … is:If the two lines are coincident (lie on top of each other), the pair has: