The value of dy/dx is 3.
In maths, there is a branch to study and that is calculus. The differentiation is one such part of the calculus that can be defined as the technique of locating the derivatives of a particular function. It is denoted by dy/dx, and the rate of change of variable x with respect to variable y is designated as dy/dx. Differentiation follows a certain list of formulas for its execution.
Finding the value of dy/dx.
∴y=3x [given above]
⇒y=3x
Now, differentiating both sides, we have
dy/dx= 3 x^0 [∵ for y, differentiation of the rate of change of variable x with respect to y]
[formula used in right-hand side is d/dx=nx^(n-1), n is an integer]
⇒dy/dx=3 x^0
⇒dy/dx=3 [∵x^0=1(law of indices)]
⇒dy/dx=3
Thus, the value of dy/dx is 6(x-1).
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