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AAKASH SERIES-MEAN VALUE THEOREMS-EXERCISE
- If f(x) = x^(3) + bx^(2) + ax satisfies the conditions of Rolle's the...
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- If a + b + c = 0, then the equation 3ax^(2) + 2bx + c = 0 has, in the ...
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- If 27a+9b+3c+d=0, then the equation 4ax^(3)+3bx^(2)+2cx+d =0 has atlea...
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- Rolle's theorem cannot be applicable for
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- The value of 'c' in Lagrange's thorem for f(x) = lx^(2) + mx + n [l ne...
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- If f'(x) = (1)/(1+x^(2)) for all x and f(0) = 0, then:
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- Let f be a function which is continuous and differentiable for all rea...
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- In [0,1], Lagrange's mean value theorem is not applicable to (a) f(...
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- Let f(x) and g(x) be differentiable functions for 0 le x le 1 such t...
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- The value of 'a' for which x^(3) -3x +a=0 has two distinct roots in [...
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- Let R rarr R be a continuous function define by f(x ) =(1)/(e^(x)+2e) ...
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- The real number k for which the equation, 2x^(3)+3x+k=0 has two distin...
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- If f and 'g' are differentiable functions in [0, 1] satisfying f(0) = ...
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- If the Rolle's theorem holds for the function f(x) = 2x^(3) + ax^(2) +...
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- Let f(1)= -2 and f'(x ) ge 4.2 for 1 le x le 6 . The possible value o...
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- A value of c for which the conclusion of Mean Value Theorem holds for ...
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- If 2a + 3b + 6c = 0, then atleast one root of the equation ax^(2) + bx...
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- If the equation a(n)x^(n) + a(n-1) x^(n-1)+"......" + a(1) x= 0 (a(1...
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- Let f be differentiable for all x. If f(1) = -2 and f'(x) ge 2 for...
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- Consider the functions, f(x) = |x -2 | + |x - 5 |, x in R Statement-1...
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