Question

3 Find the derivative of 7x
$\sqrt{ \times }$
​

Answer 1

Answer:

21 √x/2

Step-by-step explanation:

let us consider y= 7x√x

formula: d(f(X) * g(X)) = f(x) * d(g(X) +g(X) * d(f(X))

here consider f(X) as x and g(X) as √x.

now d(y) = 7 d( x *√x)

= 7 ( x * d(√x) +√x * d(x))

as we know, d(√x)= 1/(2√x) and d(X) = 1 =====>( these can be obtained from formula d(x^n) = n * x^n-1.)

d(y) = 7(x * 1/(2√x) +√x * 1)

d(y) = 7(√x/2 +√x)

d(y) = 21√x/2