Question

1)Найти производную:

a)f(x)=sqrtx^3-sqrtx-3*x^18

b)y=(1/7-3*x^2)^35

Answer 1

a)f(x)=√(x³)- √x - 3x¹⁸

f(x) = x^(3/2) - x^(1/2) - 3x¹⁸

f'(x) = 3/2 · х^ (1/2) - 1/2 · x^(-1/2) - 3·18·x¹⁷

$f'(x) = frac{3sqrt{x}}{2} - frac{1}{2sqrt{x}} - 54x^1^7$

 

b)y=(1/7-3x²)^35

y' = 35·(1/7 - 3x²)^34·(-6x)

y' = -210x·(1/7 - 3x²)^34