- 4x³| [x-2x] ,1s x<2 Os x<1 Let f(x) = Then discuss the differentiability of f(x) in (0,2) Here [] denotes th greatest integer function.

Q: Prove algebraic ally that any function of the form f(x)=ax2n+4 (where n is an integer) is symmetric…

A: The given function is fx=ax2x+4. To prove fx=ax2x+4 is symmetric to the y-axis, it is enough to…

Q: f(x) = -9 f'(x) = -(x²+9) (x²-9)2 f"(x) = 2x(x²+27) (x²–9)3 4. Given a) Provide a complete analysis…

A: a)

Q: If the function f (x) is continuous for all real numbers and if f (x) x²-4 when x + -2, then x+2 f…

A: f(-2) = -4

Q: Find the maximum of f(x) = -x4 - 2*x3 - 8*x2 -5*x in the range of [-2, 1]

A:

Q: F(X) = 102₂ ; g(x) = x + 1

A: To find the domain of .

Q: (4x+7 (ii) If f(x) = { 14x²-1 Isxs2 2<154 determine whether the function f(x) is continuous…

A: In this question we have to check whether the given function is continuous throughout its domain or…

Q: if f(x) = 0 < x1 < 1, 1< x2 < 2, then fi (x1) = x2, f2(x2) = 1 True False O

A:

Q: The domain of the function f(x) =D <-20 is x+ 6x + 9 اخترأحد الخيارات a. None O [-5, o]b O (-00,…

A: we have to find the domain for the given function f(x)