fx6x23Solutionfx6x23 take deriviatve use rule ddxxn n xn1 t

f(x)=6x^(-2/3)

Solution

f(x)=6x^(-2/3)

take deriviatve

use rule d/dx(x^n) = n x^(n-1)

thus

f\'(x) = d/dx( 6 x^(-2/3) = 6 * -2/3 x^(-2/3-1) = -4 x^-5/3

f(x)=6x^(-2/3)Solutionf(x)=6x^(-2/3) take deriviatve use rule d/dx(x^n) = n x^(n-1) thus f\'(x) = d/dx( 6 x^(-2/3) = 6 * -2/3 x^(-2/3-1) = -4 x^-5/3

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