Please help me solve this derivative? :/

As a race car accelerated away from the starting line, its velocity at any given time is modeled by this function: V=5t^2+2t
Find the rate at which the car is accelerating after 3 seconds.

So supposedly the answer is 32. The derivative is 10t+2 also. My question is, how do you get the derivative? What I mean is, how do you go from V=5t^2+2t to 10t+2. If you could explain it to me you have no idea how greatfull I will be!!

Question

Please help me solve this derivative? :/


As a race car accelerated away from the starting line, its velocity at any given time is modeled by this function: V=5t^2+2t     
Find the rate at which the car is accelerating after 3 seconds.

So supposedly the answer is 32. The derivative is 10t+2 also. My question is, how do you get the derivative? What I mean is, how do you go from V=5t^2+2t to 10t+2. If you could explain it to me you have no idea how greatfull I will be!!

sleepyhead314 · Answer

do you know how derivatives work?
derivative is an equation that represents the slope of an equation
the slope of velocity = acceleration

to get derivatives, there is something called a "Power Rule"
where  given   x^n  , the derivative would be   n*x^(n-1)

so for example   the derivative of  x^3  =  3x^2
and the derivative of  5x^2  = 5*2*x^1 = 10x

do you follow so far @Isabellaxoxo ? :)