Option 25 DHS 6.2

Option 25 DHS 6.2

DHS - 6.2
Find y´ and y. "
No. 1.25. sin y = xy² + 5.
Find y´ and y. "
No. 2.25. {x = exp (-3t); y = exp (8t).
No. 3.25. For a given function y and argument x0, calculate y ‴ (x0); y = 2 ^ (x²); x0 = 1.
No. 4.25. Write the formula for the derivative of the nth order for the function y = √ x + 7;
No. 5.25. Find a point on the curve y = 5x² - 4x + 1; the tangent in which is perpendicular to the straight line x + 6y + 15 = 0.
No. 6.25. Two material points move along the Ox axis; the laws of motion of which are x = 2t³ - 2t² + 6t - 7; and x = 5t³ / 3 - t² + 14t + 4. At what point in time will their speeds be equal