WebBy the Sum Rule, the derivative of 5−t 5 - t with respect to t t is d dt [5]+ d dt [−t] d d t [ 5] + d d t [ - t]. 1 2(5−t)1 2 ( d dt [5]+ d dt [−t]) 1 2 ( 5 - t) 1 2 ( d d t [ 5] + d d t [ - t]) Since 5 5 … WebSecond derivative. The second derivative is given by: Or simply derive the first derivative: Nth derivative. The nth derivative is calculated by deriving f(x) n times. The nth derivative is equal to the derivative of the (n-1) derivative: f (n) (x) = [f (n-1) (x)]' Example: Find the fourth derivative of. f (x) = 2x 5

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Web3.4.5 Use derivatives to calculate marginal cost and revenue in a business situation. In this section we look at some applications of the derivative by focusing on the interpretation of the derivative as the rate of change of a function. ... Its position at time t t is given by s (t) = t 2 − 5 t + 1. s (t) = t 2 ... WebDetailed step by step solution for What is the derivative of 5/t ? dan thayer performance

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WebSince is constant with respect to , the derivative of with respect to is . Step 2. Rewrite as . Step 3. Differentiate using the Power Rule which states that is where . Step 4. Multiply by … WebBy the definition of a derivative this is the limit as h goes to 0 of: (g (x+h) - g (x))/h = (2f (x+h) - 2f (x))/h = 2 (f (x+h) - f (x))/h Now remember that we can take a constant multiple out of a limit, so this could be thought of as 2 times the limit as h goes to 0 of (f (x+h) - f (x))/h Which is just 2 times f' (x) (again, by definition). WebAug 18, 2016 · The problem with (-5)^x is that it's only defined at a few select points, because values like (-5)^ (1/2) are complex or imaginary, and ln of negative numbers is a bit complex (pun unintended). Thus, (-5)^x is undifferentiable over the reals; … danthe25man