Application of Derivatives questions
910 published questions with worked solutions.
- The value of ordinate of the graph of y=2+ x lies in the interval
- The radius of a circle is increasing at the rate of 0 7 cm/sec. What is the rate of increase of its circumference?
- Let y=3x^2+2. If x changes from 10 to 10 1, then what is the total change in y?
- What is the maximum value of x x?
- Consider the following statements : 1. The function f(x)= x increases in the interval (0, ). 2. The function f(x)= x increases in...
- How many extreme values does 4x+2x, where 0<x< 2 have?
- What is the maximum value of the function f(x)= 1 x+ x , where 0<x< 2 ?
- In which one of the following intervals is the function f(x)= x^3 3 - 7x^2 2 +6x+5 decreasing?
- If xy=4225 where x, y are natural numbers, then what is the minimum value of x+y?
- What is the maximum value of 3( x- x)+4( ^3x- ^3x)?
- Under which one of the following conditions does the function f(x)=(p x)^2+(q , cosec ,x)^2 attain minimum value?
- Where does the function f(x)= _ j=1 ^ 7 (x-j)^2 attain its minimum value?
- Consider the following statements in respect of the function f(x)= cases |x|+1, & 0<|x| 3 1, & x=0 cases 1. The function attains...
- Consider the following statements : 1. f(x)= x is increasing in (0, ) 2. g(x)=e^x+e^ 1 x is decreasing in (0, ) Which of the...
- The non-negative values of b for which the function 16x^3 3 -4bx^2+x has neither maximum nor minimum in the range x>0 is
- What is the maximum value of a x+b x+c?
- Consider the following statements regarding the function f(x)= 1 x-5 : Statement-I : f(x) is decreasing on the intervals x<5 and...
- Consider the following statements : Statement-I : The function f(x)= x^3+128 x has a minimum value 48 at x=4. Statement-II : As x...
- x+ 3 x is maximum when x is equal to
- Consider the following statements in respect of the function f(x)=x in the interval (-1, 1) : I. The function attains maximum...
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