Question

Dy
If x= 15t2 and y= 10t2, find
dx
​

Answer 1

Answer: x' = 30t

y' = 20t

Explanation:

To find the derivative, multiply the exponent to the leading coefficient and decrease the exponent by 1.

x = 15t²

x' = 2 · 15t²⁻¹

= 30t¹

= 30t

y = 10t²

y' = 2 · 10t²⁻¹

= 20t¹

= 20t