# Differientiate the function and tangent line

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Please answer the attached problems and circle the answers. thanks

1. Differientiate g(x) = (7x - 5)/(5x + 1) + x^3

2. Find dy/dx, y = x^0.75

3. Differientiate the function y = sqrt(x^2 + 6)

4. Find an equation for the line that is tangent to the curve y = 4x^3 - 4x at the point (1, 0)

5. For the function, find the points on the graph at which the tangent line is horizontal. y = 2x - 1

a) The tangent line is horizontal to the graph at

b) there is no solution

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##### Solution Summary

It provides several examples of finding the derivatives of the functions. It also shows how to find out the tangent line to the curve.

##### Solution Preview

1) By addition rule and quotient rule,

2)

3) By chain rule:

4) The slope of the tangent line is the ...

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