Question

If y=x power 5-3xpower 2+2x then find dy /dx

Answer 1

y = x^5 - 3x^2 + 2x

Now,
d(x^n) / dx = n*x^n-1

By this formula,
d(y)/dx = d(x^5-3x^2 + 2x) / dx
= 5*x^5-1 - 3*2*x^2-1 + 2*x1-1
= 5x^4 - 6x

Hence,
dy/dx = 5x^4 - 6x

Answer 2

Hey There!!


Here we are going to use one simple concept:

$y=x^n \, \, \implies \frac{dy}{dx} = nx^{n-1}$

Using this, we can solve the question as follows:


$y=x^5-3x^2+2x \\ \\ \\ \implies \frac{dy}{dx}=5x^4-3\times 2 x^1 + 2\times 1 x^0 \\ \\ \implies \boxed{\frac{dy}{dx}=5x^4-6x+2}$

Hope it helps
Purva
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