Ryabushko A.P. IDZ 6.2 option 3

Ryabushko A.P. IDZ 6.2 option 3

DHS - 6.2
Find y ´and y ".
№ 1.3. y = x + arctg y.
Find y ´and y ".
№ 2.3. {X = 6cos³t; y = 2sin³t
№ 3.3. For a given function and y arguments to calculate x0 y ´´ ´(x0); y = ln (2 + x²) arctg x; xo = 0.
№ 4.3. Write a formula for the derivative of n - th order for the function y = 2ˣ;
№ 5.3. Write the equation of the tangent to the curve y = √x - 4; at the point with the abscissa x = 8.
№ 6.3. By moving the axis Ox two material points; laws of motion which x = 4t² - 7 and y = 3t²- 4t + 38. How fast these points away from each other at the time of the meeting?

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