Application of Derivatives questions
910 published questions with worked solutions.
- The value of m, for which the line y = mx + 25 3 3 is a normal to the conic x^2 16 - y^2 9 = 1, is
- The equation of the normal to the hyperbola x^2 16 - y^2 9 = 1 at (-4, 0) is
- The equation of tangent to the ellipse x^2 + 4y^2 = 5 at (-1, 1), is
- The equation of the tangent to the conic x^2 - y^2 - 8x + 2y + 11 = 0 at (2, 1) is
- Which one of the following statements is correct in respect of the function f(x)=x^3 x?
- The maximum value of (x+ 6 )+ (x+ 6 ) in the interval (0, 2 ) is attained at
- What is the length of the longest interval in which the function f(x)=3 x-4 ^3x is increasing?
- Let f(x)=x+ 1 x , where x (0, 1). Then which one of the following is correct?
- Which one of the following is correct in respect of the function f(x)=x(x-1)(x+1)?
- The maximum value of x x is
- Match List-I with List-II and select the correct answer using the code given below the lists : List-I (Function): A. x+ x B. 3...
- A cylindrical jar without a lid has to be constructed using a given surface area of a metal sheet. If the capacity of the jar is...
- Consider the following statements : Statement I : x> x for all x>0 Statement II : f(x)=x- x is an increasing function for all x>0...
- The maximum value of (x+ 5 )+ (x+ 5 ), where x (0, 2 ), is attained at
- Let the slope of the curve y= ^ -1 ( x) be . Then the value of in the interval (0, ) is
- Which one of the following is correct in respect of the function f(x)=x x+ x+ 1 2 ^2x?
- In which one of the following intervals is the function f(x)=x^2-5x+6 decreasing?
- What is the minimum value of [x(x-1)+1]^ 1 3 , where 0 x 1?
- What is the minimum value of a^2 ^2x + b^2 ^2x where a>0 and b>0?
- If f(x)= x^3 3 - 5x^2 2 +6x+7 increases in the interval T and decreases in the interval S, then which one of the following is...
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