For the function g(x) = x^2-3 and the point P(2,1)
Use either LIMIT definition of the derivative to find the slope
of the tangent line to the graph of g at P AND determine an
equation of the tangent line at P.
. 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 :)
Use
the definition f '(x) = lim tends to 0 (f(x+h) - f(x) / h) to find
a. The derivative of f(x) = x + (30/x)
b. The derivative of f(x) = 3x^2- 5x + 30