If y= ⁻¹ ( 4 x 1+5 x^2 )+ ⁻¹ ( 3+8 x 3-3 x ) , then d y d x =

Step-by-step solution

aligned & y= ⁻¹ ( 4 x 1+5 x^2 )+ ⁻¹ ( 3+8 x 8-3 x )= ⁻¹ ( 5 x-x 1+5 x x )+ ⁻¹ ( 3 8 +x 1- 3 8 x ) & = ⁻¹(5 x)- ⁻¹(x)+ ⁻¹ ( 3 8 )+ ⁻¹(x) & y= ⁻¹(5 x)+ ⁻¹ ( 3 8 ) & d y d x = 1 1+(5 x)^2 5+0= 5 1+25 x^2 aligned