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Differentiate the following functions with respect to

`x`

. Use * to show variables multiplying trigonometric functions such as

`y^(**)sin(x)`

to represent

`ysin(x)`

Use brackets to denote arguments of sinusoidal terms such as

`cos(4x)`

to represent

`cos(4x)`

as opposed to

`cos4x`

`e^(2x)`

is entered as

`e^(2x)`

not as

`e^(2)x`

which would give

`e^(2)x`

. a) Use the quotient rule to differentiate

```
y=(8x^(5)+5x)/(6x+5)
(dy)/(dx)=
```

b) Use the chain rule to differentiate

```
y=4cos(x^(3)-5)
(dy)/(dx)=
```

c) Select an appropriate rule to differentiate

```
y=(5x^(3)-7e^(-3x))sin(5x)
(dy)/(dx)=
```