i'm doing exercises on Khan academy and i'm struggeling with simplifications when it comes to taking the derivative of three terms that require using the productrule twice. The first step is not te problem, it's the simplification that i'm struggeling to grasp.
For exemple: find the derivative of 2x*x^1/2*sin(x)
i get that taking the derivative twice would result in something that looks like the following:
u′(x)⋅v(x)⋅w(x)+u(x)⋅v′(x)⋅w(x)+u(x)⋅v(x)⋅w′(x)
and i got this step down with this step i got
But the next step, simplification, i can't follow and feel they skip too many steps in between for me to comprehend:
For exemple: find the derivative of 2x*x^1/2*sin(x)
i get that taking the derivative twice would result in something that looks like the following:
u′(x)⋅v(x)⋅w(x)+u(x)⋅v′(x)⋅w(x)+u(x)⋅v(x)⋅w′(x)
and i got this step down with this step i got
But the next step, simplification, i can't follow and feel they skip too many steps in between for me to comprehend: