# Math Help - Basic Derivative

1. ## Basic Derivative

What is the derivative of:

$
t^{2} sin bt
$

Would that be the product Rule or the Chain Rule?

2. Originally Posted by fudawala
What is the derivative of:

$
t^{2} sin bt
$

Would that be the product Rule or the Chain Rule?
A bit of both:
$f(t) = t^2 \cdot sin(bt)$

$f^{\prime}(t) = (t^2)^{\prime} \cdot sin(bt) + (t^2) \cdot (sin(bt))^{\prime}$

$f^{\prime}(t) = 2t \cdot sin(bt) + (t^2) \cdot cos(bt) \cdot b$

$f^{\prime}(t) = 2t \cdot sin(bt) + bt^2 \cdot cos(bt)$

-Dan