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Derivative of One Function w.r.t Another

Let f x be a ...

Question

Let f(x) be a function defined on [0,2] by:

where a, b and c are constants such that f(x) has second derivative at x = 1. Then a equals

A

-6

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B

-3

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C

6

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D

3

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Solution

The correct option is D
3

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Similar questions

Q. f is a real function defined by

f (x) = \frac{x - 1}{x + 1}; x \neq - 1 t h e n f (2 x) =

f (x)

be a function defined by

f (x) = \int_{1}^{x} t (t^{2} - 3 t + 2) d t, 1 \leq x \leq 3

f (x)

f (x)

be a function defined by

f (x) = \int_{1}^{x} x (x^{2} - 3 x + 2) d x, 1 \leq x \leq 3

.Then the range of

f (x)

f : R \to R

be a function defined by

f (x) = (1 - x)^{\frac{1}{3}}

α + β = 1, 2 α^{2} + 2 β^{2} = 1

and f(x) be a continuous function such that f(x + 2) + f(x) = 2

\forall \times ϵ [0, 2] a n d (p + 4) = \int_{0}^{4} f (x) d x & q = \frac{α}{β}

exactly one root of the equation

a x^{2} - b x + c = 0

is lying between p and q when a, b,

c ϵ N

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