Question

differentiation of x^3 (x+1) (x^2 + 1)​

Answer 1

Answer:

dy/dx=6x⁵+2x⁴ +4x³+6x²

Step-by-step explanation:

y=x^3 (x+1) (x^2 + 1)​

=(x^4+x^3)(x^2+1)

dy/dx=(x^4+x^3)d/dx(x^2+1)+(x^2+1)d/dx(x^4+x^3)

=(x^4+x^3) (2x) + (x^2+1) (4x^3+3x^2)

=2x⁵+2x⁴ +4x⁵+3x²+4x³+3x²

dy/dx=6x⁵+2x⁴ +4x³+6x²