WebWell, wherever in the derivative we saw an x, we can replace it with a g of x. So it's going to be 1/2 times-- instead of an x to the negative 1/2, we can write a g of x to the 1/2. And this is just going to be equal to-- let me write it right over here. It's going to be equal to 1/2 times all of this business to the negative 1/2 power. WebWhat is the derivative of 2/ (3t^2) ? The derivative of 2/ (3t^2) is -4/ (3t^3) What is the first derivative of 2/ (3t^2) ? The first derivative of 2/ (3t^2) is -4/ (3t^3)
How do you differentiate #y=(t^2+2)/(t^4-3t^2+1)#? - Socratic…
WebThe indefinite integral of f (x) f ( x), denoted ∫ f (x)dx ∫ f ( x) d x, is defined to be the antiderivative of f (x) f ( x). In other words, the derivative of ∫ f (x)dx ∫ f ( x) d x is f (x) f ( … WebThe derivative of a constant is equal to zero, hence the derivative of zero is zero. What does the third derivative tell you? The third derivative is the rate at which the second … naf naf clothing wiki
What is the derivative of t2 sin (3t - 5) with respect to t?
WebJul 2, 2024 · 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: WebFind the derivative of the functions in Problems. y = 5 + ln(3t + 2) Chapter 3, problem 3.3 #21. Find the derivative of the functions in Problems. y = 5 + ln(3t + 2) This problem has … WebFind the Derivative - d/d@VAR f (x)=2t^3+4t f (x) = 2t3 + 4t f ( x) = 2 t 3 + 4 t By the Sum Rule, the derivative of 2t3 +4t 2 t 3 + 4 t with respect to t t is d dt [2t3]+ d dt [4t] d d t [ 2 t 3] + d d t [ 4 t]. d dt [2t3]+ d dt[4t] d d t [ 2 t 3] + d d t [ 4 t] Evaluate d dt [2t3] d d t [ 2 t 3]. Tap for more steps... naf naf clothing 90s