what is the derivative?

Question

of
x= ((2t+9)^3/2)/3

thanks!

Answer 1

((2t+9)^3/2)/3


well you would multiply by the exponential and then subtract one from it. then you would use the chain rule and multiply by the coeefficient of the x term giving you

(2t + 9)^(1/2) because the 3 cancels when you multiply by the 3/2 and the 2 of the x term and the exponential cancel

Answer 2

6y2(2t+9)3-2y3*3(2t+9)(2)/(2y3)2


do the math your seld the formula is d'n-dn'/d2

2 or 3 after means square and cubed

good luck