Question

find differentiate;y=x(x+3)(x^2+9)​

Answer 1

Step-by-step explanation:

y=x(x+3)(x²+9)

=(x²+3x)(x²+9)

=(x⁴+3x³+9x²+27x)

Differentiating both sides w. r. t. x

dy/dx=d(x⁴+3x³+9x²+27x)/dx

=dx⁴/dx + 3dx³/dx + 9dx²/dx + 27dx/dx

=3x³+9x²+18x+27