Question

11. 4/x-2

Answer 1

Consider the function,

f( x )=4 x −2

The formula for the derivative of a function in the form of x n is,

d dx ( x n )=n x n−1

Apply the above formula in the given function,

f ′ ( x )= d( 4 x −2 ) dx = d dx 4 x − d dx 2 =4 d dx x 1 2 −0 =4( 1 2 ) x − 1 2

Simplify further,

f ′ ( x )= 2 x 1 2 = 2 x

Thus, the derivative of 4 x −2 is 2 x .