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Sagot :
The derivative for y=eu(x); u(x) is a function in terms of x is dy/dx = eu'(x) + u(x)e .
A derivative is the rate of change of a function with respect to a certain variable . There are certain rules of differentiation which help us to evaluate the derivatives of some particular functions. :
- Power Rule.
- Sum and Difference Rule.
- Product Rule.
- Quotient Rule.
- Chain Rule.
This equation can be solved using the product rule of derivatives :
According to the product rule derivative of uv will be taken as -
u(v)' + v(u)'
where (') represents derivative of the variable.
Therefore accordingly -
y = eu(x)
differentiating with respect to x
dy/dx = e(u(x))' + u(x)(e)'
dy/dx = eu'(x) + u(x)e ( derivative of e=e)
Therefore the derivative in terms of x is dy/dx = eu'(x) + u(x)e .
Know more about derivatives at
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