Option 26 DHS 6.2 Collection of DHS Ryabushko

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Option 26 DHS 6.2 Collection of DHS Ryabushko

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

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