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3. Find the points on the curve y = 4 x 3 + 6 x 2 2 4 x + 1 where the tangent line

3. Find the points on the curve y=4x3+6x224x+1where the tangent line is horizontal.

4. Find the points on the curve y=x3+3x220x at which the slope of the tangent line is equal to 4.

7. Find an equation of the tangent line to the curve y=x3.exat the point. (1, e).

8. Find a parabolay=ax2+bx+c that passes through the point (1, 4) and whose tangent line atx=2 has slope 7 and the tangent line at x= -1has slope 1.

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