Question

y=3x+2 then find dy/dx​

Answer 1

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.

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Answer 2

Answer:

Value of $\frac{dy}{dx}$ is 3.

Step-by-step explanation:

Explanation:

Given in the question, y = 3x + 2.

Differentiation- The derivative of a function of a real variable in mathematics assesses how sensitively the function's value changes in response to changes in its argument. Calculus's core tool is the derivative.

It is the technique of calculating a function's rate of change based on its inputs.

Step 1:

We have, y = 3x + 2

On differentiating y = 3x + 2 with respect to x we get,

⇒$\frac{dy}{dx}$ = 3 $\frac{dx}{dy}$ + $\frac{d2}{dx}$

⇒$\frac{dy}{dx}$ = 3 + 0

⇒$\frac{dy}{dx}$ = 3

Final answer:

Hence, 3 is the required value of $\frac{dy}{dx}$.

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