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Differentiate y=e^(x)*sin(x) with respect to x

y=e^(x)*sin(x) Use the product rule: y'=uv'+vu' y=u*v Differentiate: u=e^(x) u'=e^(x) v=sin(x) v'=cos(x) Sub into the product rule: y'=e^(x)*cos(x)+e^(x)*sin(x) Take out a factor of e^(x): y'=e^(x)*(cos(x)+s...
AJ
Answered by Alexander J. • Maths tutor
6278 Views

Which past tense do you use when?

In German, there are 3 ways of forming the past tense . The easiest 2 are the Perfect and Imperfect , and there is another slightly more complex form called the Pluperfect . As a quick summary, the Perfect t...
GC
Answered by Grace C. • German tutor
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How is Sonata Form an Effective Tool for Creating a Musical Argument?

The structure of Sonata Form - consisting of an Exposition, Development, and Recapitulation (sometimes with Coda) - gives ample room for the execution of a musical argument. In the exposition, all musical ma...
OO
Answered by Oscar O. • Music tutor
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A patient refuses treatment for a life threatening condition. Discuss the ethical issues involved.

When faced with an ethical question it is imporant to remember the four pillars of ethics which are applied in Medicine: Respect for autonomy, non-maleficence, beneficence and justice. Although all the pilla...
YD
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Find dy/dx in terms of t of the parametric equations x=4e^-2t, y=4 - 2e^2t

x=4e -2t , y=4-2e 2t dy/dx = dy/dt * dt/dx dy/dt = -4e 2t dx/dt = -8e -2t dt/dx = -1/8 * e 2t dy/dx = (-4e 2t )(-1/8 * e 2t ) = 1/2 * e 4t dy/dx = 0.5e 4t
JM
Answered by Josh M. • Maths tutor
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