Find the derivative !!WITHOUT USING FRACTIONS AND NEGATIVE EXPONENTS!!

Question

Find the derivative of f(x)= 6sqrt x-2/x^10.

Type your answer without fractional or negative exponents. Use sqrt(x) for sqrtx

f′(x)=

Answer 1

assume f(x)=6(x-2)^1/2(x^-5)

df/dx=6[(1/2)(x-2)^-1/2(x^-5)-5(x^-6)(x-2)^1/2]

=(x-2)^-1/2(x^-6)(-27x+60)

(x-2)^-1/2=1/√(x-2) ,,,x^-6=1/x⁶

assume f(x)=6(x-2)^1/2(x^-10)

df/dx=df/dx=6[(1/2)(x-2)^-1/2(x^-10)-10(x^-11)(x-2)^1/2]

=(x-2)^-1/2(x^-11)(-57x+120)

x^-11=1/x¹¹