Rusty B.
asked • 04/10/20Differentiate F(x)
Differentiate f(x)=4x√+3x
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2 Answers By Expert Tutors
Write 4x√+3x as 4x(3x)0.5.
The Product Rule gives d[4x(3x)0.5]/dx as d(4x)/dx × (3x)0.5 + 4x × d(3x)0.5/dx which simplifies to
4(3x)0.5+4x(0.5)(3)(3x)(0.5-1) equal to 4(3x)0.5 + 6x(3x)-0.5 or 4√(3x) + 6x/√(3x) or 18x/√(3x).
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Reeve G.
The way you've formulated this question doesn't make sense. If it were f(x)=4*sqrt(x)+3x=4x^{1/2}+3x, it would make sense, in which case your derivative is f'(x)=2x^{-1/2}+3, by the Power Rule.04/10/20