Question

Derivative of y = 2t^4-10t^2+13t

Answer 1

Given that,

The value of y is, $y=2t^4-10t^2+13t$.

To find,

Derivate y wrt t.

Solution,

We have,

$y=2t^4-10t^2+13t$

We know that, $\dfrac{d}{dx}(x^n)=nx^{n-1}$

So,

$\dfrac{dy}{dt}=2\dfrac{d}{dt}t^4-\dfrac{d}{dt}10t^2+\dfrac{d}{dt}13t\\\\\dfrac{dy}{dt}=8t^3-20t+13$

So, the derivative of y is $8t^3-20t+13$.