Application of Derivatives questions
910 published questions with worked solutions.
- If the function f(x)=x^ 2 -ax+4 is monotonic increasing in the open interval (2,+ ) then a is
- Let f(x) be an even function in R. If f(x) is monotonic increasing in [2,6] then
- Let f(x) = 1 - (1-x)^2, x 1. The number of solutions of the equation f f(x) = x is
- If the parabola y = ax^2 - 6x + b passes through (0, 2) and has its tangent at x = 32 parallel to the x-axis then
- The slope of the tangent to the curve y = 1+x - 1-x 1+x + 1-x at x = 12 is
- If f be a function defined as f(x) = x^3 - 3x, -1 x 3 then the range of f is
- The number of real solutions of the equation ( 3 5 )^x + 7 5 = 2^x is
- If a, b, c, d are non-negative real numbers where a + b + c + d = 1 then the maximum value of ab + bc + cd is
- If f(x)= _ x^2 ^ x^2+1 e^ -t^2 ,dt then f(x) increases in
- Let f(x)= x^2+x + ^2 x^2+x , (0, 2 ). The value of f(x) is always greater than or equal to
- In [0,1] Lagrange's Mean-Value theorem is not applicable to
- The equation px^3 - (p+1)x^2 + px = 0 has real roots and p is any positive integer. Then the equation has
- If f(x) is a twice differentiable function for which f(1)=1, f(2)=4 and f(3)=9 then
- Let f be differentiable for all x. If f(1)=-2 and f'(x) 2 for x [1,6] then the value of f(6) is
- The area of the greatest rectangle that can be inscribed in the ellipse x^2 a^2 + y^2 b^2 =1 is
- If f(x) is continuous and differentiable function and f ! ( 1n )=0 for all n 1 and n I then
- In each question, match every entry of Column I with the correct entry of Column II. (An entry of Column II may be used more than...
- In each question, match every entry of Column I with the correct entry of Column II. (An entry of Column II may be used more than...
- In each question, match every entry of Column I with the correct entry of Column II. (An entry of Column II may be used more than...
- If a_i 0, where i = 1, 2, 3, , n, and _ i=1 ^ n-1 a_i = 20 then the greatest possible value of _ i=1 ^ n a_i a_ i+1 is _____.
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