F (x) = 2x⁵-4/x

f (x) = (2√x+1) * x

найдите производную

Question

Математика

Луара

4 марта, 14:50

F (x) = 2x⁵-4/x

f (x) = (2√x+1) * x

найдите производную

+4

Ответы (1)

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Арщалуйс · Answer 1

F (x) = 2x⁵-4/x = 2x⁵-4*x (^-1)

F' (x) = (2x⁵-4*x (^-1) ' = 10*x (^4) + 4*x (^-2) = 10*x (^4) + 4/x (^2)

f (x) = (2√x+1) * x = (2x (^1/2) + 1) * x = 2x (^3/2) + x

f' (x) = (2x (^3/2) + x) ' = 2*3/2*x (^1/2) + 1 = 3√x + 1

F (x) = 2x⁵-4/xf (x) = (2√x+1) * xнайдите производную

F (x) = 2x⁵-4/x

f (x) = (2√x+1) * x

найдите производную