Question

Find the derivative of the following function w. r. t. x.:

`7xsqrt x`

Answer 1

Let y = `7xsqrt x`

=` 7x^1x^(1/2)`

`y = 7x^(3/2)`

Differentiating w.r.t. x, we get

`dy/dx = d/dx7x^(3/2)`

= `7xx3/2x^(3/2-1)`

= `21/2 x^(1/2)`

=`21/2sqrtx`