A-Level Maths: G2-10 Differentiation: Differentiating ln(kx)

[freerights]

you can also split lnkx into lnk + lnx using log laws, and then differentiating them seperately. lnk differentiates to 0 as it's a constant, and lnx differentiates to 1/x, so you are left with just 1/x

[greenbell-owcw]

love how you make short, straight to the point videos

[RcRc-yhjx]

thank you so much for this lesson!! this was so helpful

[eesaagulzar]

Huh? so the ∫1/x is either ln(x), or ln(kx)? as if there was a constant k before the x then when integrating 1/x it would be unknown?

[forest]

Thanks alot this helps so much ! can't wait till it is all finished :( need video G3-06

[aryameniry]

Does anyone have any idea how to answer this question.
A curve has the equation
y= ln(3x) - e^-2x
Show that the equation of the tangent at the point with an x-coordinate of 1 is
y= (e^2+2/e^2)x - (e^2+3/e^2)+ln3
(6 marks)

I have found the gradient and ln3x differentiates to 1/x as shown in this video. The next step is to use y-y1=m(x-x1) but I can't get past that point:-(

[ahmadghaffar]

Do we need to know the proof for all these formulas