Test for Monotonicity in an Interval
Trending Questions
Q.
If then is equal to.
Q.
If , then is
Q. The function f(x)= 2x3 − 9x2 + 12x + 4 is decreasing in the interval(s)
- (−∞, 1) and (2, ∞)
- (−∞, 1) only
- (1, 2)
- (2, ∞) only
Q. If f′(sinθ)<0 and f′′(sinθ)>0 ∀ θ∈(0, π2) and g(θ)=f(sinθ)+f(cosθ), then
- g(θ) is decreasing in x∈(π4, π2)
- g(θ) is decreasing in x∈(0, π4)
- g(θ) is increasing in x∈(π4, π2)
- g(θ) in increasing in x∈(0, π4)