Question

if y= 3x-7 then what is the value of dy/dx.

Answer 1

Explanation:

y=3x+2

Then

dy/dx=d(3x+2)/dx

=d3x/dx + d2/dx

=3.1.x^0 + 0

=3

As the differentiation of a constant is zero.

Answer 2

Answer:

$\frac{dy}{dx} =3$

Explanation:

Here,

$\frac{dy}{dx}=3x-7\\ \\\frac{d(3x-7)}{dx} =\frac{d(3x)}{dx} -\frac{d(7)}{dx} \\ \\=3$

Note:

$\frac{d(ax)}{dx} =a\\\frac{d(a)}{dx} = 0 \\\\where 'a' is a constant.$