Option 11 DHS 6.2

Option 11 DHS 6.2

DHS-6.2
Find y´ and y. "
№ 1.11. y = eʸ + 4x.
№ 2.11. x = eᵗ cos t; y = eᵗ sin t.
№ 3.11. For a given function y and argument x0, calculate y ‴ (x0); y = arcsin x; x0 = 0.
№ 4.11. Write the formula for the derivative of the nth order for the function y = 1 / (x-3);
№ 5.11. Write the equation of the normal to the curve y = x² / 4 - 27x + 60; at the point with the x = 2 abscissa.
№ 6.11. The law of motion of the material point is S = 5t³ / 3 - t² / 2 + 7. At what point in time will its velocity be 42 m / s?