Derivative

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Find equation of the tangent line.

1) Find the equation to the tangent line y = tan x at x = 0

Derivative

see attached

Derivatives : Chain Rule

Find the derivative: y = (x^2 - x +1)^-7

Derivative

see attached

Differentiation : Second Derivatives

Find the second derivative of f(x) = (x + 1)^2/(x -1)

Volume of a Solid of Revolution

Find the volume of the solid formed by revolving the region bounded by the graphs of y=2(x^2), x=0 and y=2 about the y-axis.

Find the indefinite integral

Find the indefinite integral of x divided by the square root of x - 1

Equation of a Circle Given Point and Center

Find the equation of the circle satisfying the given conditions: Center(2,-1)and goes through (5,3)

Equation of a Tangent Line

Find the equation of the line tangent at the point (4,1). Given: sqrt(y) + x(y^2) =5