differiation of a^(5x) (1 Viewer)

[steve001]

hey,

does anybody know how to derive a^(5x) with rescept to x.

thanks in advanced

 

[Drongoski]

hey,

does anybody know how to derive a^(5x) with rescept to x.

thanks in advanced

d/dx (a^x) = (a^x)ln a

d/dx (a^(5x)) = 5 (a^x)ln a

 

[Drongoski]

 

[Drongoski]

Got it Steve001 ??

 

[steve001]

i dont have the answer but i seems right. if someone else thinks that it is wrong please post what they think

 

[Trebla]

Here's a method which gets it from scratch so you don't have to remember what d(a^x)/dx gives...
Let y = a^5x
ln y = ln a^5x
ln y = 5x ln a
y = e^{5x ln a}
dy/dx = 5 ln a.e^{5x ln a}
= 5 ln a. a^5x

 

[bemer]

is that in the 2 unit course
never seen it b4

 

[lyounamu]

Yeah, it is.

You must know it for HSC...it came out as HSC question like 10 years ago as Q10 and we know for sure that syllabus for maths hardly changed since then.

 

[bemer]

Yeah, it is.

You must know it for HSC...it came out as HSC question like 10 years ago as Q10 and we know for sure that syllabus for maths hardly changed since then.

do u noe wat yr so i can chek it out