Class 12 Applications Of Derivatives · Mcq Single Correct1 Marksabsolute_extrema
Class 12 Maths · Applications Of Derivatives · Mcq Single Correct #85
Find the maximum slope of y=−x³+3x²+12x−5.
✅ Step-by-Step Solution
Final Answer: Option (A): 15
- y′=−3x²+6x+12=15−3(x−1)²≤15.
Master Chapter 6: Applications Of Derivatives
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Applications Of Derivatives.
← Previous Question
An equilateral triangle side increases at 2 cm/s. Find its area…
Next Question →Find the full set of k for which f(x)=2x²−kx+5 is strictly…
More Practice Questions in Applications Of Derivatives
Related Questions in Applications Of Derivatives
Class 12 Applications Of Derivatives · Mcq Single Correct
Find the maximal open interval on which f(x)=x²e^(−x) has positive derivative.
Class 12 Applications Of Derivatives · Mcq Single Correct
For f(x)=x²−4x+6, identify the maximal open interval where f′(x)>0.
Class 12 Applications Of Derivatives · Mcq Single Correct
For x>0, at which x is f(x)=x^x stationary?
Class 12 Applications Of Derivatives · Mcq Single Correct
Find the maximum value of (1/x)^x for x>0.
Class 12 Applications Of Derivatives · Mcq Single Correct
Find the maximum of [x(x−1)+1]^(1/3) on 0≤x≤1.
Class 12 Applications Of Derivatives · Mcq Single Correct
A trapezium area model is A(x)=(10+x)√(100−x²) cm² for 0≤x≤10. Find its maximum.