Option 1 DHS 6.1 Collection of DHS Ryabushko

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Option 1 DHS 6.1 Collection of DHS Ryabushko

DHS - 6.2
Find y´ and y. "
No. 1.1. y² = 8x.
Find y´ and y. "
No. 2.1. {x = (2t + 3) cost; y = 3t³.
No. 3.1. For a given function y and argument x0, calculate Find y´´´ (x0); y = sun2x; x0 = π / 2.
No. 4.1. Write the formula for the derivative of the nth order for the function y = lnx;
No. 5.1. Write the equation of the tangent to the curve y = x² - 7x + 3; at the point with the x = 1 abscissa.
No. 6.1. The trajectory of the body is a cubic parabola 12y = x³. In which points of its speed of increase of the abscissa and ordinate are the same?

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