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How do you differentiate #f(x)=ln (x^3+3)#?

1 Answer

Oct 31, 2016

# f'(x) = (3x^2)/(x^3+3)#

Explanation:

# f(x) = ln(x^3+3) #

To differentiate we use the chain rule:
# d/dxf(g(x)) =f'(g(x))g'(x)# or,# dy/dx=dy/(du)(du)/dx#

# :. f'(x) = 1/(x^3+3) d/dx(x^3+3)#

# :. f'(x) = 1/(x^3+3)(3x^2)#

# :. f'(x) = (3x^2)/(x^3+3)#

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