WebJul 31, 2015 · #= 1/cos^2 theta * 2cos theta * d/(d theta) (cos theta)# #= 1/cos^2 theta * 2cos theta * d/(d theta) (cos theta)# #= 1/cos^2 theta * 2cos theta * (-sin theta)# # = -2 sintheta/costheta = -2tan theta# Method 2 Use properties of #ln# to rewrite: #y = ln(cos^2 theta) = 2ln(cos theta)# Use the chain rule: (less detail this time) #y' = 2*1/cos theta ... WebJun 2, 2009 · okay I begain with theta^2 times r^2 because it is the samething as (theta*r)^2. So using the product rule I get 2*r^2*theta*d (theta)/dt + 2* (theta^2)*r*dr/dt. If you replace theta by thetadot and thetadot by thetadotdot you have the correct answer.
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WebFind the Derivative - d/d@VAR f (theta)=cos (theta^2) f (θ) = cos(θ2) f ( θ) = cos ( θ 2) Differentiate using the chain rule, which states that d dθ[f (g(θ))] d d θ [ f ( g ( θ))] is f '(g(θ))g'(θ) f ′ ( g ( θ)) g ′ ( θ) where f (θ) = cos(θ) f ( θ) = cos ( θ) and g(θ) = θ2 g ( θ) = θ 2. Tap for more steps... WebMar 29, 2015 · 2 Answers Sorted by: 1 I assume you can exchange partial derivatives, so that: ∂ ∂ θ ∂ z ∂ x = ∂ ∂ x ∂ z ∂ θ Then you can use your answer form part (i) to plug into ∂ z ∂ θ, and take the partial of that with respect to x. Share Cite Follow answered Mar 29, 2015 at 5:44 Machine Caliber 704 3 8 Thanks so much for your reply! green river ut to bryce national park
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WebRelated Queries: series of e^(i theta) at theta = pi; third derivative e^(i theta) plot e^(i theta)^e^(i theta) from theta=-5 to 5; intercepts e^(i theta) WebNow, in order to implement the method of maximum likelihood, we need to find the \ (p\) that maximizes the likelihood \ (L (p)\). We need to put on our calculus hats now since, in order to maximize the function, we are going to need to differentiate the likelihood function with respect to \ (p\). WebSo, the derivative of sin of two theta with respect to two theta is going to be cosine of two theta and then you multiply that, times the derivative of two theta with respect to theta which is two, so we could just say times two here or we could write a two out front. green river ut golf course