Question

Let f(x)=3x^4-2x^2+3

a) find f'(x)
Answer: f'(x)=12x^3-4x

b) find the slope of the line tangent to the graph of f at x=3.
Answer:312

So I got those firs two right but what I need help with is part C which is

c) find an equation of the line tangent to the graph of f at x=3

Answer 1

what does ^ mean

Answer 2

to the power of, for example x squared or x cubed

Answer 3

surely by now you know that the line through (h,k) with slope m is

y-k = m(x-h)

you have h=3,m=312, and k=f(3)

plug and chug.