Question

Find the derivatives w.r.t.x:
x(x³ + 2) (x² + 1)

Answer 1

Answer:

6.x⁵ + 4.x³ + 6.x² + 2

Step-by-step explanation:

Hi,

Given expression is x(x³ + 2)(x² + 1),

which can be simplified as (x⁴ + 2x)(x² + 1)

= (x⁶ + x⁴ + 2x³ + 2x)

We know d/dx (xⁿ) = n.xⁿ⁻¹

  d/dx (x⁶ + x⁴ + 2x³ + 2x)

= d/dx (x⁶) + d/dx( x⁴ ) + d/dx(2x³) + d/dx(2x)

= 6.x⁵ + 4.x³ + 6.x² + 2

Hope, it helps !