If y= ⁻¹ ( 2+3 x 3-2 x )+ ⁻¹ ( 4 x 1+5 x^2 ) , then d y ~d x =

Step-by-step solution

aligned & y= ⁻¹ ( 2+3 x 3-2 x )+ ⁻¹ ( 4 x 1+5 x^2 ) & = ⁻¹ ( 2 3 +x 1- 2 3 x )+ ⁻¹ ( 5 x-x 1+5 x^2 ) & = ⁻¹ 2 3 + ⁻¹ x+ ⁻¹ 5 x- ⁻¹ x & y= ⁻¹ 2 3 + ⁻¹ 5 x & d y d x = 1 1+(5 x)^2 5= 5 1+25 x^2 aligned