alleryIf $y = \sin x$, then $y_n = \dfrac{d^n y}{dx^n}$ at $x = 0$ for $n = 4$ equals:
A$-1$
B$0$
C$1$
D$\sin(0) = 0$
Answer & Solution
Correct answer: B. $0$
$d/dx(\sin x)$ cycles every 4: $\sin, \cos, -\sin, -\cos, \sin, \dots$.
**So $y^{(4)} = \sin x$. At $x=0$: $\sin 0 = 0$.**
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: