If , ,…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

If y2+log⁡e(cos⁡2x)=yy^2 + \log_e(\cos^2 x) = y , x∈(−π2,π2)x \in \left( -\frac{\pi}{2}, \frac{\pi}{2} \right) , then: (a) ∣y′(0)∣+∣y′′(0)∣=3|y'(0)| + |y''(0)| = 3 (b) ∣y′(0)∣+∣y′′(0)∣=1|y'(0)| + |y''(0)| = 1 (c) y′′(0)=2y''(0) = 2 (d) ∣y′′(0)∣=2|y''(0)| = 2

Related theory

Browse the problem library