WebDetermine the 2nd derivative of y by implicit differentiation from the equation 4x^2 + 8y^2 = 36 a. (- 16/9) y^3 b. (– 9/4) y^3 c. 32xy d. 64x^2 2. Find the derivative. 1. Determine the 2nd derivative of y by implicit differentiation from the equation 4x^2 + 8y^2 = 36. a. (- 16/9) y^3 WebSolution. Step I: First of all, find the first derivative of the given function. Step II: Now calculate the critical point by substituting the first derivative equal to zero. Calculate the critical point of 4x^2 + 6xy + 8y.
Find dy/dx e^(4y)+x=8y Mathway
WebSep 7, 2024 · The derivative function, denoted by \(f'\), is the function whose domain consists of those values of \(x\) such that the following limit exists: \[f'(x)=\lim_{h→0}\frac{f(x+h)−f(x)}{h}. \label{derdef} \] A function \(f(x)\) is said to be differentiableat\(a\) if \(f'(a)\) exists. WebFree Online Derivative Calculator allows you to solve first order and higher order derivatives, providing information you need to understand derivative concepts. … local news greensburg indiana
Second derivatives with implicit differentiation - Krista King Math
WebWell the derivative of this, we can just use the product and actually a little bit of the chain rule here. So the derivative of x is just 1 times the second function. So it's going to be times y squared. And then to that, we're going to add the product of the first function which is this x times the derivative of y squared with respect to x. WebFeb 10, 2008 · ok, i found the derivative first which was y^2 - 1/(4y^2), i then squared this which gave me y^4 + 1/(16y^4) - 1/2, i then stuck this in the formula and added the one, which gave y^4 +1/(16y^4) + 1/2, i then put the terms together (16y^8 + 8y^4 + 1)/16y^4, i then seen the numerator is the a perfect square (4y^4 + 1)^2/16y^4, which enabled me … WebFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. local news greene county indiana