Version 6.2 Collection of 26 DHS DHS Ryabushko

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DHS - 6.2
Find y ´and y ".
№ 1.26. x³ + y³ = 5x.
Find y ´and y ".
№ 2.26. {X = ³√ (t-1) ²; √t = y-1.
№ 3.26. For a given function y and calculate the argument x0 y‴ (x0); y = (4x-3) 5; x0 = 1.
№ 4.26. Write a formula for the derivative of n - th order for the function y = x exp (6x);
№ 5.26. Find a point on the curve y = 3x²- 5x - 11; tangent which is parallel to the line x - y + 10 = 0.
№ 6.26. The law of motion of a material point in a straight line defined by the formula S = t³ / 3 - t² / 2 - 30t + 18. At some point in time the velocity is zero point?