1. `y=2x^3-2x^2-5x+4`
Find First Derivative

Solution:
`d/(dx)(2x^3-2x^2-5x+4)`

`=d/(dx)(2x^3)-d/(dx)(2x^2)-d/(dx)(5x)+d/(dx)(4)`

`=6x^2-4x-5+0`

`=6x^2-4x-5`

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2. `y=log(x)e^x`
Find First Derivative

Solution:
`d/(dx)(log(x)e^(x))`

`=(d/(dx)(log(x)))e^(x)+log(x)(d/(dx)(e^(x)))`

`=(1/x)e^(x)+log(x)(e^(x))`

`=(e^(x))/x+log(x)e^(x)`

`=e^(x)(1/x+log(x))`

`=(e^(x)(1+log(x)x))/x`

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3. `y=3cos(sin(x))`
Find First Derivative

Solution:
`d/(dx)(3cos(sin(x)))`

`=-3sin(sin(x))d/(dx)(sin(x))`

`=-3sin(sin(x))cos(x)`

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4. `y=x^2sin(x)`
Find First Derivative

Solution:
`d/(dx)(x^2sin(x))`

`=(d/(dx)(x^2))sin(x)+x^2(d/(dx)(sin(x)))`

`=(2x)sin(x)+x^2(cos(x))`

`=2xsin(x)+x^2cos(x)`

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