Differentiation Question

**iPod** · September 9th 2009, 08:46 AM

$y=e^xsin(4e^{5x})$

hints please

**e^(i*pi)** · September 9th 2009, 08:47 AM

Originally Posted by iPod

$e^xsin(5e^4)$

hints please

$sin(5e^4)$ = constant

$\frac{d}{dx}(ae^x) = ae^x$

**iPod** · September 9th 2009, 08:52 AM

i understood that, however the question i have written the 1st time was incorrect, please take another look

**guess** · September 9th 2009, 09:55 AM

Originally Posted by iPod

$y=e^xsin(4e^{5x})$

hints please

try the product rule?

f(x)=e^x
f'(x)=e^x

g(x)=(sin(4e^{5x}))
g'(x)=(cos(4e^{5x}))(4e^{5x})(5)=20e^{5x}(cos(4e^{ 5x}))

dy/dx=f(x)g'(x)+g(x)f'(x)

**iPod** · September 9th 2009, 10:21 AM

thanks very much, i got it now

Thread: Differentiation Question