F(x)=2x⁵-4/x f(x)=(2√x+1)×x найдите производную

Question

F(x)=2x⁵-4/x

f(x)=(2√x+1)×x

найдите производную

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  

Comments

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