1.) Find the equation of tangent line at point (1,-1) of the graph of the following function f(x)= 5x³ - 6x²

2.) Find the limit lim _{x--> -2} (x²+4x+4 / x⁴ - 16)

3.) Find the equation of the tangent line at point (Pi/2, 0) of the graph of the following function f(x) = cosx

4.) Using chain rule calculate derivative of the following functions

a. y = 1 / sinx + cosx b. y = sin(x + 1/x)

* that's a long square root symbol over sinx + cosx

5.) using implicit differentiation method calculate dy/dx for x² + sinx + y² = 2x² y²- x³

6.) Calculate the second derivative for function f(x) = x³ cos (2x)

7.) Calculate the derivative of the function f (x) = x² - 3x / x² + 7x

Show work please, thank you