Final Answer
Step-by-step Solution
Specify the solving method
The derivative of a sum of two or more functions is the sum of the derivatives of each function
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{d}{dt}\left(t\right)+\frac{d}{dt}\left(-\frac{1}{3}t^3\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dt(t-1/3t^3) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function is equal to 1. The derivative of a function multiplied by a constant (-\frac{1}{3}) is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.