alleryWhich function is an antiderivative of $\cos x$?
A$\tan x$
B$-\sin x$
C$-\cos x$
D$\sin x$
Answer & Solution
Correct answer: D. $\sin x$
1. An antiderivative $F$ of $f$ satisfies $F'(x)=f(x)$.
2. We need $F$ with $F'(x)=\cos x$.
3. Since $\dfrac{d}{dx}(\sin x)=\cos x$, the antiderivative is $\sin x$.
_Source: syllabus Mathematics Ch 7 "Integrals", p.289_
Keep practising Linear Programming
Browse all Linear Programming questions for GMAT, or explore more Mathematics topics.
Related questions
The integral $\int x^n\,dx$ (for $n\neq -1$) equalsIf P(A) = 0.4, the probability of complement of A isProbability of drawing a king OR a queen from a deck isProbability that a leap year has 53 Sundays isTwo events A, B are mutually exclusive with P(A) = 0.3, P(B) = 0.4. Then P(A or B) isTwo dice are rolled. The probability of getting a sum of 7 isProbability of an impossible event isTwo students attempt a question. P(student 1 correct) = 0.6, P(student 2 correct) = 0.5. P