# Math

posted by .

Differentiate y=4^(3x^2)..
i need to know the calculation step..thanks for the help....

• Math -

What? You managed to do e^xlnx, and can't do this one?

y' = ln4 4^(3x^2) (6x)
ooh! Look, that's the same as ln(4^(6x)) 4^(3x^2)

Looks like d/dx a^u = ln(a^u') a^u
but probably better to leave it as lna a^u u'

## Similar Questions

1. ### trigo help!

1. differentiate cos(3/x) 2. differentiate sin(4/x) 3. differentiate 3/{sin(3x+pi)} 4. differentiate pxsin(q/x)where p and q are constants. 5. differentiate xsin(a/x) where a is constant 6. differentiate sec^3(3x^2+1)
2. ### Maths

Differentiate y=(5x-2)^3(3-x)^6 using the product rule. i don't get the step where they find the common factor could you help me by doing it step by step please ?
3. ### math

differentiate y=-4x^2cos x. i need to know the calculation work. (ans: 4x^2sinx - 8xcosx)
4. ### math

differentiate y=(x)^(1/2)e^(-x).i need the calculation work. [ans: -x^(1/2)e^(-x) + 1/2(x^-1/2)e^(-x)]
5. ### math

differentiate y=e^x/(x)^(1/2).i need the calculation work.[ans: e^x/x^(1/2) - e^x/2x^(3/2)]
6. ### Math

How to differentiate e^e^x? Ans at wolfram is e^(x+e^x). I need the calculation method.
7. ### math

Your task is to chose at least ONE of the operations(add,substract,multiply or divide)and design a poster that tells someone how to do a calculation in your chosen operation.Do not just do a poster showing a substraction,for example,you …
8. ### math

calculate the number of molecule h2s04 present in 250ml of 98% by mass of sulphuric solution. Density of solution is 1.84g/ml Answer 4.6N How do calculation step by step
9. ### Calc

Differentiate f and find its domain. Show step by step please! f(x)=lnlnln(x) Thanks!
10. ### Calculus 2 (Differentiate & Decay Problem)

I have two problems I need help on, can someone show and explain step by step how to do the problems?

More Similar Questions