WebDec 26, 2016 · The derivative of some term raised to a power is found by multiplying the term by the original power and reducing the power by one. So we have 3(2t − 4)2 as the … WebDec 26, 2016 · The derivative of some term raised to a power is found by multiplying the term by the original power and reducing the power by one. So we have 3(2t − 4)2 as the first half of our derivative. This is f '(g(x)) in the above definition. Next, we multiply by the derivative of the inside function, (2t −4), which is simply 2. ⇒ 3(2t −4)2 ⋅ 2.
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WebJul 2, 2024 · Explanation: We know the following rule for the derivative of the ratio: y = f (t) g(t) → y' = f '(t) ⋅ g(t) − f (t) ⋅ g'(t) g2(t) Let's apply it to: y = t2 +2 t4 −3t2 + 1 Then y' = 2t ⋅ (t4 − 3t2 +1) −(t2 + 2)(4t3 −6t) (t4 − 3t2 +1)2 Let's expand the numerator: y' = 2t5 −6t3 + 2t − 4t5 +6t3 − 8t3 +12t (t4 −3t2 +1)2 and sum the like terms: optum sign in uhc
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WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more. WebIn this problem, the position is calculated using the formula: s (t)=2/3t^3-6t^2+10t (which indeed gives you 0 for t=0), while the velocity is given by v (t)=2t^2-12t+10. You get the first formula from the task and the second by finding the derivative ds/dt of the first. WebMath Calculus Calculus questions and answers Find the derivative of the function. f (t) = 3t sin (𝜋t) This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer Question: Find the derivative of the function. f (t) = 3t sin (𝜋t) Find the derivative of the function. optum south bay phone number