Question

Slope of tangent, Is this right?

Answer 1

are you looking for the derivative?

Answer 2

power rule
\[\frac{d}{dx}ax^n = nax^{n-1}\]
\[f(x) = 2x^4 \rightarrow f'(x) = 4*2x^{4-1} = 8x^3\]
\[\frac{d}{dx}2x^4 = 4*2x^{4-1}=8x^3\]

Answer 3

then plug the value of x into the equation

Answer 4

it is always good to find the general derivative first, but of course it wouldn't hurt to use the value of x right away if you're pressed with time