Question

The slope of the tangent line to the curve f(x)=x^3-5 at x=3 is 22 true or false?

Steps to solve this please

Answer 1

false

Answer 2

have u learned the derivative rules?

Answer 3

Yes

Answer 4

Differentiate the function:
\[f(x) = x^3 - 5\\ f'(x) = 3x^2\]
Now, find the slope of the tangent line:
\[f'(3) = 3(3)^2 = 3^3 = 27\]

Answer 5

ok so u kno the derivative is 3x^2 so plug in 3 and youll end up with 18

Answer 6

whoops 27

Answer 7

okay thanks guys!