Answer to: Find the derivative: y = \frac{\cos\theta}{1 + \sin^{2}\theta} By signing up, you'll get thousands of step-by-step solutions to your...
Answer to: Find the derivative of y with respect to theta. y = 2 e^theta (sin theta - cos theta) By signing up, you'll get thousands of...
Let u = log ( sec theta + tan theta ) and v = sec theta On differentiatng both sides w.r.t.theta , we get (du)/(d theta ) = (1) /((sec theta + tan theta) ) (sec theta tan theta + sec^(2) theta ) and (dv)/(d theta ) = sec theta tan theta
Develop an intuition for the limit of a function. Learn the properties of the limit of a function. Apply the rules to compute the limits of functions through examples. Related to this Question Find the first derivative of r = (\sec \theta + \tan \theta)^{-2}. ...
What is the derivative ofsec−1(x+2)2=2(x+2)(x+2)−1? Differentiation of sec−1x=1xx2−1 Answer and Explanation:1 Lety=sec−1(x+2)2 Differentiation wrt x: {eq}\frac{dy}{dx}=\frac{1}{(x+2)^2\sqrt{(x+2)^4-1}} . \frac{d}{dx...
Now, dividing both sides of the equation by ${{\sec }^{2}}y$, it will give us, $\dfrac{dy}{dx}=\dfrac{1}{{{\sec }^{2}}\left( y \right)}$ We know that ${{\tan }^{2}}\theta +1={{\sec }^{2}}\theta $. So, by substituting this identity in our equation, it...
[Note: Link to the quote below has been pasted in by the Mentors -- please always provide attribution when quoting another source] https://www.feynmanlectures.caltech.edu/I_08.html Let s=16t^2 and we want to find speed at 5 sec. s = 16(5.001)2 = 16(25.010001) = 400.160016 ft....
Derivative of Secant: Find dy/dx Homework Statement Find dy/dx for ##~y=\sec^2(5x)## Homework Equations Secant and it's derivative: $$\sec\,x=\frac{1}{\cos\,x}$$ $$\sec'\,x=\tan\,x\cdot\sec\,x$$The Attempt at a Solution $$y=\sec^2(5x)~\rightarrow~y'=2\cdot 5 ...
For the preparation of syn-isomers, alcohol 62 has to be oxidized into the corresponding ketone, which is reduced with potassium tri-sec-butylborohydride (K-selectride) into the syn-isomer 66 (Scheme 47). The α-amino aldehyde l-69, derived from l-serine, was converted into aminotetrose ...
What is the derivative of {eq}y= \sec x \csc x {/eq}?Product Rule:When finding the derivative of a function, we need to first choose a procedure to follow. If our function is the product of two or more expressions, then we need to apply the Product Rule. This technique states ...