. Let f(x) = 3x^2 + 5x. Using the limit definition of derivative
prove that f '(x) = 6x + 5
Then, Find the tangent line of f(x) at x = 3
Finally, Find the average rate of change between x = −1 and x =
2
Two questions:
2) Use the limit definition of the derivative to find the
derivative of f(x)= x^3 - 9x
3) Using limits, find an equation of the line tangent to the
function of g(x)= 4/x^2 at x= -2
Show All Work please! thank you :)
Given: f (x) = (x − 2)/(x^2 − x +1)^2 a) Find the intervals
where f(x) is increasing, and decreasing b) Find the intervals
where f(x) is concave up, and concave down c) Find the x-coordinate
of all inflection points.
1. Given f(x) = −(x − 1)
2
(x + 1)
2
(x + 5) Find the following
a. End behavior
b. Find the Zeros
c. Find Multiplicity and touch or cross
d. X and y intercept
e. graph
Find f
1)f”(x)=-2+12x-12x(Square), f’(0)=12
F(x)=?
2)Find a function f such that f’(x)=5x cube and the line
5x+y=0 is the tangent to the graph of f
F(x)=?
3)A particle is moving with the given data. Find the position
of the particle
a(t)=11sin(t)+4cos(t), s(0)=0, s(2pi)=16
s(t)=?
(please i need help)