Question

Let f(x) = x**6.

f(1) =?

Answer 1

I mean x^6

Answer 2

\[f(x)=x^6\]\[f(1)=(1)^6=1\]

Answer 3

thanx

Answer 4

wait if you got f(1)= 1 then can you show me how At x = 1, the slope of the tangent line to the graph =

Answer 5

basically find the slope
I think

Answer 6

Yep. If you take the derivative of the general function, you will get a function that outputs the slope of the tangent line at input, x...

Given that...\[f(x)=x^6\]Then...\[f'(x)=6x^5\]The slope at x = 1 is found by plugging 1 into the derivative of the function f(x)...\[f'(1)=6(1)^5=6\]