Some question related to $f(x)= x^7 -105x +12$
121984
Let $f (x)= x^7 -105x + 12$ then which of the following options is correct?
133333
Find $f(x)$ for $f(f(x))=\sin x$
100900
Finding maxima and minima of $f(x,y)= x^4 + y^4 - 2x^2 - 2y^2 + 4xy$
2300
Determine the remainder when $f(x) = 3x^5 - 5x^2 + 4x + 1$ is divided by $(x-1)(x+2)$
112778
Let $f(x) = x^3-\frac{3}{2}x^2+x+\frac{1}{4}.$ Then the value of $ \int^{3/4}_{1/4}f(f(x))\mathrm dx$
104263
How to show that $f'(x)<2f(x)$
77581
Let $f(x)$ be differentiable at $\mathbb R$, s.t $|f^\prime (x)| \le 6$ . Its given that $f(1)=20$, and $f(9)=68$ , prove that $f(7)=56$.
107133
Let f(x) be a polynomial satisfying $\lim_{x \to\infty} \frac{x^4f(x)}{x^8+1}=3,$ $f(2)=5 $ and $f(3)=10$, $f(-1)=2$ and $f(-6)=37$
113045
How do I find the inverse of $f(x) = \frac{x}{x^2 + 1}$
17310
Can $f(x)=|x|^3$ be differentiated
31269
How to visualize $f(x) = (-2)^x$
138544
For which values of $x$, will $f (x) . f '(x) < 0$?
68746
What is $f(f^{-1}(A))$?
112089
Find the Maclaurin series of f(x)
28927
IMO 1987 - function such that $f(f(n))=n+1987$
81679
Why is $f(4)$ the area under $f'(x)$ specifically from $0$ to $4$ and not for ex from $1$ to $4$ or $2$ to $4$?
106013
Given $f(x) = x + |x|$ for what values of $x$ is $f$ differentiable