Find the limit of the derivative and tangent line

lim (3(3+h)^5 - 729)/h
(h -> 0)

State the function and the number:

f(x) =

alpha =

Let f(x) =3 x^2 - 2 x + 8
The slope of the tangent line to the graph of f(x) at the point (5,73) is .
The equation of the tangent line to the graph of f(x) at (5,73) is y=mx+b for
m=
and
b=

f(x) = 3x^5
f(3) = 3^6 = 729

f '(x) = 15x^4
f '(3) = 1215

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f(x) = 3x² - 2x + 8
Take the derivative; use the power rule.