(i) 2x - 3/4
Let y = f(x) = 2x - 3/4
Then, derivative of given function
Hence, derivative of given function (2x - 3/4)
(ii) (5x3 + 3x - 1)(x - 1)
Let y = f(x) = (5x3 + 3x – 1) (x – 1)
The given function is product of two function.
Then, derivative of product of two functions
= 20x3 – 15x2 + 6x – 4
Hence, derivative of given function
= 20x3 – 15x2 + 6x – 4.
(iii) x5(3 - 6x-9)
Let y = x5(3 – 6x-9)
Then, derivative of given function
= 15x4 + 24/x5
(iv) x-4(3 - 4x-5)
(v) 2/(x + 1) - x2/(3x - 1)
[From the formula of derivative of quotient of two functions]
We can also solve this equation by product rule of derivative.