**30.** Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Given,
Now, As we know the derivative of any function
Also chain rule of derivative,
Hence the derivative of the given function is

**29.** Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Given
Now, As we know the Multiplication property of derivative,
Also the property
Applying those properties we get,
the derivative of the given function is,

**28**. Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

**27. ** Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Given,
Now, As we know the derivative of any function
Now, As we know the derivative of any function
Hence the derivative of the given function is

**26.** Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Given,
Now, As we know the derivative of any function
Also the property
Applying those properties,we get

**25. ** Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Given,
And the Multiplication property of derivative,
Also the property
Applying those properties we get,

**24.** Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Given,
Now As we know the Multiplication property of derivative,(the product rule)
And also the property
Applying those properties we get,

**23.** Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Given
Now, As we know the product rule of derivative,
The derivative of the given function is

**22.** Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Given
Now, As we know, the Multiplication property of derivative,
Hence derivative of the given function is:

**21. **Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Given,

Now, As we know the derivative of any function

Hence the derivative of the given function is:

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**20.** Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Given Function

Now, As we know the derivative of any function of this type is:

Hence derivative of the given function will be:

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**19. ** Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Given,
Now, As we know the chain rule of derivative,
And, the property,
Applying those properties, we get
Hence Derivative of the given function is

**18. ** Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Given,
which also can be written as
Now,
As we know the derivative of such function
So, The derivative of the function is,
Which can also be written as
.

**17.** Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

**16. ** Find the derivative of the following functions (it is to be understood that a, b, c, d,p, q, r and s are fixed non-zero constants and m and n are integers):

Given,
Now, As we know the derivative of any function
Hence, The derivative of f(x) is
(Answer)

**15. ** Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Given,
the Multiplication property of derivative,
Applying the property
Hence derivative of the function is .

**14. **Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

**13** Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Given
Now, As we know the chain rule of derivative,
And the Multiplication property of derivative,
And, the property,
Also the property
Applying those properties we get,

**12. ** Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Given
Now, As we know the chain rule of derivative,
And, the property,
Also the property
applying those properties we get,

**11** Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Given
It can also be written as
Now,
As we know, the property,
and the property
applying that property we get

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