Question

if y= 4x^3+3x^2+2 find dy /dx​

Answer 1

Note : Here 2 is a constant and a differential of a constant is 0

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Answer 2

Given,

y = 4x³+3x²+2

To find,

The value of :

$\frac{dy}{dx}$

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Here, we will use the general rules for differentiation. Rest of the, procedure are given below -

So,

$= \frac{dy}{dx}$

$= \frac{d}{dx} (4 {x}^{3} + {3x}^{2} + 2)$

$= \frac{d}{dx} ( {4x}^{3}) + \frac{d}{dx} ( {3x}^{2} ) + \frac{d}{dx} (2)$

$= (4 \times 3 \times {x}^{(3 - 1)} ) + (3 \times 2 \times {x}^{(2 - 1)} ) + 0$

$= 12 {x}^{2} + 6x$

(This will be considered as the final answer of the given differentiation. d/dx of 2 is equal to zero, because 2 is a constant here.)

Hence, the answer will be 12x²+6x