Question

The function f(x) = 10 + x6​

Answer 1

Answer:

yes the function is 6x +10

Answer 2

Given: Here we have the function $f(x) = 10 + x^6$

To FInd: Here we will find Whether the given function is maximun or minimum at x = 0

Step by step solution:

Here we have the function

$f(x) = 10 + x^6$

$f'(x) = 6x^5 = 0 \\x = 0$

$f''(x) = 30x^4$

A function f(x) has maximum or minimum at x = a when f’(a) = 0

The function f(x) has maximum at x = a, if f’’(a) < 0

The function f(x) has minimum at x = 1, if f’’(a) > 0

The f(x) has neither a maximum nor a minimum at x = 0, if f’’(a) = 0

At x = 0, f’’(x) = 0

So, f(x) has neither a maximum nor a minimum at x = 0.

Final answer:

So, f(x) has neither a maximum nor a minimum at x = 0.