NDA Math Mock Test 02 – Question 89
Question: Let f(x) be a function such that f(x) = g(x) and f”(x) = −f(x). Let \(h(x) = \{f(x)\}^2 +
Question: Let f(x) be a function such that f(x) = g(x) and f”(x) = −f(x). Let \(h(x) = \{f(x)\}^2 +
Question: If for a continuous function f, f(0) = f(1) = 0, f'(1) = 2 and \(g(x) = f(e^x) e^{f(x)}\),
Question: If f(x) = cos x, g(x) = log x and y = (gof)(x), then what is the value of
Question: The derivative of a function \(f(x) = \dfrac{3x^3 + \log x}{x^2} + \tan x\) is फलन \(f(x) = \dfrac{3x^3
Question: If \(y = x^x\), then what is the value of \(\dfrac{dy}{dx}\) at x = 1? यदि \(y = x^x\)
Question: If \(f(x) = \sqrt{25 – x^2}\), then what is \(\lim_{x \to 1} \dfrac{f(x) – f(1)}{x – 1}\) equal to?
Question: Let \(f(x) = \begin{cases} -2, & -3 \leq x \leq 0 \\ x – 2, & 0 < x
Question: Let \(f(x) = \begin{vmatrix} \cos x & x & 1 \\ 2\sin x & x^2 & 2x \\ \tan
Question: Let \(f(x) = (|x| – |x – 1|)^2\). Which of the following equations is/are correct? I. f(−2) = f(5)
Question: Consider the vectors \(\vec{a} = \hat{i} – 2\hat{j} + \hat{k}\) and \(b = 4\hat{i} – 4\hat{j} + 7\hat{k}\). What