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Differentiate ln(x^3 +2) with respect to x

The differential of ln(x) is x^-1 or 1/x. Because we have x^3 + 2 inside the bracket we have to differentiate this term also and multiply this with the other term. For example, d/dx of x^3 +2 is equal to 3x^...
GL
Answered by George L. • Maths tutor
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A curve is defined by the parametric equations: X = 3 – 4t , y = 1 + (2/t) Find (dy/dx) in terms of t.

When dividing fractions by fractions with a common factor: (a/c) / (b/c) = (a/c) * (c/b) = (ac/bc) we can cancel the common factor to get (a/b). So in this question we can do the same: (dy/dt) / (dx/dt) = (d...
EE
Answered by Eddie E. • Maths tutor
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What is the photoelectric effect?

The photoelectric effect refers to the emmision of electrons from a surface, usually a metal, as a result of shining light (EM radiation). The light is absorbed by the electrons on the surface and thus the e...
MC
Answered by Michalis C. • Physics tutor
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Draw an Alkane with the molecular formula C4H8 as well as a possible functional group isomer and state a chemical test you can use to differentiate between the two.

Many organic molecules follow specific formulas to help identify them. For Alkanes this is: C n H 2n+2 (n being the total number of carbon atoms). However, this is not the case with the given molecular formu...
SN
Answered by Shahaab N. • Chemistry tutor
11717 Views

integrate cos(2x) + sin(3x)

the differential of cos(x) is -sin(x). the differential of cos(2x) is -2sin(2x). you can think of it as differentiating what is in the bracket and putting that in front of the -sin(2x). when differentiating ...
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Answered by Ajay D. • Maths tutor
8100 Views