IDZ 6.1 – Option 1. Solutions Ryabushko A.P.

  1. Find the derivative for each of the following functions (1-14) 14 examples:
    1. $f(x) = x^3$
    2. $g(x) = \sqrt{x}$
    3. $h(x) = e^x$
    4. $j(x) = \ln{x}$
    5. $k(x) = \sin{x}$
    6. $m(x) = \cos{x}$
    7. $n(x) = \tan{x}$
    8. $p(x) = \sec{x}$
    9. $q(x) = \cot{x}$
    10. $r(x) = \arcsin{x}$
    11. $s(x) = \arccos{x}$
    12. $t(x) = \arctan{x}$
    13. $u(x) = \sinh{x}$
    14. $v(x) = \cosh{x}$
  2. For each of these functions, it is necessary to apply the appropriate differentiation rule and calculate the derivative. The solution to each example can be presented in analytical form. It is important to know these examples to better understand mathematics and its applications in the real world.

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