Version 9 DHS 6.2 Collection of DHS Ryabushko

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Version 9 DHS 6.2 Collection of DHS Ryabushko

DHS - 6.2
Find y´ and y. "
No. 1.9. tgy = 3x + 5y.
Find y´ and y. "
No. 2.9. {x = 4t + 2t²; y = 5t³ - 3t².
No. 3.9. For a given function y and argument x0, calculate y ‴ (x0); y = Ln (x + 1); x0 = 2.
No. 4.9. Write the formula for the derivative of the nth order for the function y = √x;
No. 5.9. Write the equation of the tangent to the curve y = x² –6x + 2; at the point with the x = 2 abscissa.
No. 6.9. The law of motion of a material point is S = 4sin (t / 3 + π / 6). Find its velocity at time t = π / 2 s.

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