differentiate f(x) = 3-x/3+4x with respect to x by first principle.
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Answer:
f'(x) = -15/((3+4x)^2)
Step-by-step explanation:
d(u/v)/dx = (v*(d/dx(u))-u*(d/dx(v)))/(v^2)
f'(x) = ((3+4x)(-1)-(3-x)(4))/((3+4x)^2)
= (-3-4x-12+4x)/((3+4x)^2)
= -15/((3+4x)^2)
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