Help with differentiating exponential functions (1 Viewer)

Aluminesis · Feb 25, 2011

I'm doing some homework questions right now and am stumped because I'm confused by the basics (wasn't engaged with my thinking cap during class). So I'd really appreciate it if someone could answer these basic questions for me, showing all working out =)

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y = x - e^x

y = 6x^3 - 3e^3x

f(x) = 6 - 7e^-9x

Sorry if it looks messy. Thanks!

Shadowdude · Feb 25, 2011

y = 2e^5x
y' = 2 . 5e^5x
y' = 10e^5x

y = x - e^x
y' = 1 - e^x

y = 6x^3 - 3e^3x
y' = 18x^2 - 9e^3x

f(x) = 6 - 7e^(-9x)
f'(x) = (-7).(-9)^(-9x)
f'(x) = 63^(-9x)

Aluminesis · Feb 25, 2011

Thanks Shadowdude! Wondering if there's supposed to be an e in the last question's solution though. Would it be 63e^-9x ?

Shadowdude · Feb 25, 2011

Oh yes, my bad - I dropped an 'e'. There! You spotted my mistake which I may or may not have deliberately put there =P

Aluminesis · Feb 26, 2011

Haha, you sound like my maths teacher :L Thanks for the help!

Studentleader · Feb 26, 2011

Is the problem you don't know that d/dx[ e^f(x) ] = d/dx[f(x)] e^f(x) ?

Help with differentiating exponential functions (1 Viewer)

Aluminesis

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