If f(x)= ⁻¹ [ 1 13 (2 x-3 x) ] . Then, f^ (0.5) is equal to

Step-by-step solution

Given, f(x)= ⁻¹ 1 13 (2 x-3 x) f(x)= ⁻¹ 2 13 x- 3 13 x f(x)= ⁻¹ x- x aligned &= ⁻¹ (x+ ) &=x+ aligned On differentiating w.r.t. x , we get aligned f^ (x) &=1= constant value f^ (0.5) &=1 aligned