Answer to: Find the first derivative for s(theta) = (sec theta)/(1 + sec theta). By signing up, you'll get thousands of step-by-step solutions to...
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
{eq}f(x) = \sec(x+y) {/eq} Take the derivative with respect tox(we'll takeyas a constant.): {eq}\displaystyle \Rightarrow... Learn more about this topic: Applying the Rules of Differentiation to Calculate Derivatives from Chapter 8/ Lesson 13 ...
What is the derivative of tan^{-1} ({1.5} / x) - tan^{-1} (0.5)? What is the derivative of x\;\ln(x). What is the derivative of \sec^{-1}(x + 2)^2 = \frac{2}{(x + 2) \sqrt{(x + 2) - 1? What is the derivative of (1+sqrt3x)/(1-sqrt3x)?
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...
Determine the derivative of f(x)=\sqrt{(x^2-1)} sec^{-1}x What's the derivative of y=400(2)^{x+3}? What is the derivative of f(x) = tan^-1(x)? What is the derivative of x \ sin(\frac {1}{x}) What is the derivative of 3 \ cot(n)(\thet...
[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 ...
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...