Option 8 DHS 6.2 Collection of DHS Ryabushko

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Option 8 DHS 6.2 Collection of DHS Ryabushko

DHS - 6.2
Find y´ and y. "
№ 1.8. 3x + siny = 5y.
Find y´ and y. "
No. 2.8. {x = √ t² - 1; y = (t + 1) / √ t² - 1.
No. 3.8. For a given function y and argument x0, calculate y ‴ (x0); y = (2x + 1) ^ 5; x0 = 1.
No. 4.8. Write the formula for the derivative of the nth order for the function y = ln (3 + x);
No. 5.8. At which point of the curve y² = 4x³, the tangent is perpendicular to the straight line x + 3y - 1 = 0.
No. 6.8. The law of motion of a material point is S = 4cos (t / 4 + π / 4). Find its velocity at time t = π with.

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