WebOct 28, 2013 · Friendly tutor for ALL math and physics courses. See tutors like this. First note: y=sec -1 (1/t) ⇔ 1/t = sec y = 1/cosy ⇔ t = cos y. Now take the t-derivative of t = cos y: 1 = - (sin y) y' = -y' √ (1-cos²y) = -y' √ (1-t²) so that. y' =-1/√ (1-t²) Upvote • 0 Downvote. WebFree Online Derivative Calculator allows you to solve first order and higher order derivatives, providing information you need to understand derivative concepts. …

Derivatives: definition and basic rules Khan Academy

WebThe derivative of tan x with respect to x is denoted by d/dx (tan x) (or) (tan x)' and its value is equal to sec 2 x. Tan x is differentiable in its domain. To prove the differentiation of tan x to be sec 2 x, we use the existing trigonometric identities and existing rules of differentiation. We can prove this in the following ways: Proof by first principle ... WebThe derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us the slope of the line tangent to the function's graph at that point. … playlab - on demand movie streaming platform

Solved: Find the derivative of the function.f(t) = tan(sec(cos t ...

WebAnswer: The second derivative of sec square x is 2 sec 2 x [2 tan 2 x + sec 2 x]. Example 3: Prove that the derivative of sec square x is 2 sec 2 x tanx using the trigonometric … WebTranscribed Image Text: find the derivative of the function. g(x) = f ² sin tdt F(x) = f* √/1 + sect dt New Section 544 Page 1 y = fx²√t sirtt dt Vt WebStep-by-step solution. 92% (24 ratings) for this solution. Step 1 of 5. Consider the following function: The objective is to find the derivative of the function use the chain rule twice. playlab robinsons galleria south