Let f(x)=\(\frac{x^{100}}{100}+\frac{x^{101}}{101}+…\infty\). Find a point c ∈ (- ∞, ∞) such that f'(c) = 0

Let f(x)=\(\frac{x^{100}}{100}+\frac{x^{101}}{101}+…\infty\). Find

1.	Let f(x)=\(\frac{x^{100}}{100}+\frac{x^{101}}{101}+…\infty\). Find a point c ∈ (- ∞, ∞) such that f'(c) = 0
A.	1
B.	2
C.	= 0a) 1b) 2c) 0
D.	-1view answer
Answer» D. -1view answer

Discussion

No Comment Found

Related MCQs

Let f(x)=\(\frac{x^{100}}{100}+\frac{x^{101}}{101}+…\infty\). Find a point c ∈ (- ∞, ∞) such that f'(c) = 0
Let f(x)=\(x-\frac{x^3}{3^2.2!}+\frac{x^5}{5^2.4!}-\frac{x^7}{7^2.6!}+…\infty\). Find a point nearest to c such that f'(c) = 1
Let g(x) be periodic and non-constant, with period τ. Also we have g(nτ) = 0 : n ∈ N. The function f(x) is defined asf(x)=\(\begin{cases}2x+g(2x)& :x\in [0,\tau] \\ 2x+g(4x)& :x\in (\tau,2\tau] \\2x+g(6x)& :x\in (2\tau,3\tau]\\.\\.\\2x+g(2nx)& :x\in [(n-1)\tau,n\tau)\\.\\.\end{cases}\) How many points c ∈ [0, 18τ] exist such that f'(c) = tan-1(2)
For the infinitely defined discontinuous function\(\begin{cases}x+sin(2x)& :x\in [0,\pi] \\ x+sin(4x)& :x\in (\pi,2\pi] \\ x+sin(6x)& :x\in (2\pi,3\pi] \\.\\.\\x+sin(2nx)& :x\in [(n-1)\pi,n\pi)\\.\\.\end{cases}\) How many points c∈[0,16x] exist, such that f'(c) = 1
For a third degree monic polynomial, it is seen that the sum of roots are zero. What is the relation between the minimum angle to be rotated to have a Rolles point (α in Radians) and the cyclic sum of the roots taken two at a time c
What is the minimum angle by which the coordinate axes have to be rotated in anticlockwise sense (in Degrees), such that the function f(x) = 3x3 + 5x + 1016 has at least one Rolles point
For the function f(x) = x3 + x + 1. We do not have any Rolles point. The coordinate axes are transformed by rotating them by 60 degrees in anti-clockwise sense. The new Rolles point is?
For the function f(x) = x2 – 2x + 1. We have Rolles point at x = 1. The coordinate axes are then rotated by 45 degrees in anticlockwise sense. What is the position of new Rolles point with respect to the transformed coordinate axes?

Let f(x)=\(\frac{x^{100}}{100}+\frac{x^{101}}{101}+…\infty\). Find a point c ∈ (- ∞, ∞) such that f'(c) = 0

Discussion

No Comment Found

Related MCQs

Reply to Comment