## Calculus 10th Edition

The derivative is $3t^2+10t-3$.
Whenever two or more functions are being added or subtracted, the overall derivative would be the sum of the derivatives of every smaller function. The derivative of $t^3$ is $3t^2$, the derivative of $5t^2$ is 10t, the derivative of -3t is -3 and finally the derivative of 8 is 0; hence, the overall derivative is $3t^2+10t-3$.