Question

помогите найти производную, даю 100 баллов!!!​

Answer 1

Ответ:

$1)y' = ln(9) \times {9}^{x}$

$2)y' = ln(37) \times {37}^{x + 2}$

$3)y' = ln(0.1) \times {(0.1)}^{x - 9}$

$4)y' = ln( \frac{1}{2} ) \times {( \frac{1}{2}) }^{3x} \times 3$

$5)y' = ln(6) \times {6}^{ - x} \times ( - 1) = - ln(6) \times {6}^{ - x}$

$6)y' = 7 \times ln(5) \times {5}^{7 - x} \times ( - 1) = - 7 ln(5) \times {5}^{7 - x}$

$7)y' = ln(11) \times {11}^{4x} \times 4 = 4 ln(11) \times {11}^{4x}$

$8)y' = \frac{1}{2 + x}$

$9)y' = - \frac{1}{ ln(10) \times x }$

$10)y' = \frac{1}{ \frac{x}{3} } \times \frac{1}{3} = \frac{3}{x} \times \frac{1}{3} = \frac{1}{x}$

$11)y' = \frac{1}{x ln(6) }$

$12)y' = \frac{1}{ ln(3) \times 8x} \times 8 = \frac{1}{x ln(3) }$

$13)y' = \frac{1}{ ln(6) \times (x - 4)}$

$14)y' = \frac{1}{x ln(6) }$

$15)y' = \frac{1}{ ln(6) \times (4x + 4)} \times 4 = \frac{4}{(4x + 4) ln(6) }$