WebMay 25, 2015 · We can use the chain rule here, which states that dy dx = dy du du dx Thus, as it's not possible to directly derivate ln(x3), we can rename u = x3 and proceed to derivate ln(u) following chain rule's steps. dy du = 1 u and du dx = 3x2 Now, aggregating both parts, as stated by the chain rule: dy dx = 1 u ⋅ 3x2 = 1 x3 ⋅ 3x2 = 3 x Answer link

Derivative of ln(x) from derivative of 𝑒ˣ and implicit …

WebFeb 24, 2016 · Use this to find the derivative directly: d log z d z = ∂ u ∂ x + i ∂ v ∂ x = x − i y x 2 + y 2 = 1 z. Remark: depending on how you define the complex logarithm, there will be different ways to find its derivative. (*) The derivatives for u are easy. For v, we have: { x = r cos φ y = r sin φ. WebDetailed step by step solution for What is the derivative of ln(sec(x)) ? flower that looks like a chinese lantern

Derivative of ln(x) (video) Khan Academy

WebHere are some examples illustrating how to ask for a derivative. derivative of arcsin. derivative of lnx. derivative of sec^2. second derivative of sin^2. derivative of arctanx at … WebThe derivative is the function slope or slope of the tangent line at point x. Second 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 ... WebDetailed step by step solution for What is the derivative of ln(t+1) ? flower that looks like a dragon