Question

знайти похідну функції
1 ) f(x) = 2x^11 - 3cosx +7
2) g(x) 5x^7 + 1/x - x

Answer 1

$f(x) = 2 {x}^{11} - 3 \cos(x) + 7 \\ f'(x) = 11 \times 2 {x}^{11 - 1} - 3 \times ( - \sin(x) ) = 22 {x}^{10} + 3 \sin(x)$

$g(x) = 5 {x}^{7} + \frac{1}{x} - x \\ g'(x) = 7 \times 5 {x}^{7 - 1} - \frac{1}{ {x}^{2} } - 1 = 35 {x}^{6} - \frac{1}{ {x}^{2} } - 1$