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2009-12-19T17:55:44+01:00
E^4x(6cosx-sin8x)

f'(x)= (e^4x)'*(6cosx-sin8x)+e^4x*(6cosx-sin8x)'=

f'(x)=4e^3x(6cosx-sin8x)+e^4x*(6*(-sinx)-cos8x)=

f'(x)= 4e^3x(6cosx -sin8x) +e^4x(-6sinx-cos8x)
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2009-12-19T18:00:11+01:00
Y=e^4x(6cosx-sin8x)
y'= (e^4x-1)'(6cosx-sin8x) +(e^4x)(6cosx-sin8x) '
y'= 4x*4*e^4x-1(6cosx-sin8x)+(e^4x)(-6sinx-8cos8x)
y'=96x(e^4x-1)cosx-16x(e^4x-1)sin8x-6(e^4x)sinx-8(e^4x)cos8x
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