WebFind the derivative of each of the following functions, f(x)=sec(√x+cot(x)) a. F(x)= sec x sec (x + cot(x)) tan(x + cot(: b. r(t)= arctan(sin(3t+2¹)) r'(t)= cos ... WebMath; Calculus; Calculus questions and answers; Calculate the derivative \( \frac{d y}{d x} \) using the chain rule. State your answer in terms of \( x \) only. \[ y ...

Solved Calculate the derivative \( \frac{d y}{d x} \) using - Chegg

WebThe derivative of any function y = f (x) of a variable x is the rate of change of y with respect to change in x. From trigonometric ratios, y = sec x = 1 / cos x. As the RHS of this equation is in fraction form, we can use the quotient rule of differentiation. Hence by derivative of sec x = 1 / cos x is. d/dx (uv) = (v du/dx − u dv/dx) / v 2 ... WebJun 4, 2016 · Since secx = 1 cosx, we can write this as: d dx 1 cosx. We can find this derivative using the quotient rule: d dx u v = u'v −uv' v2. In our case, u = 1 → u' = 0 and v = cosx → v' = −sinx: d dx 1 cosx = (0)(cosx) … puja invitation message in english

What is the derivative of 2 csc X? – ProfoundAdvices

WebDerivatives Derivative Applications Limits Integrals Integral Applications Integral Approximation Series ODE Multivariable Calculus Laplace Transform Taylor/Maclaurin … WebOct 2, 2024 · The Second Derivative Of sec^2x. To calculate the second derivative of a function, differentiate the first derivative. From above, we found that the first derivative of sec^2x = 2sec 2 (x)tan(x). So to find the second derivative of sec^2x, we need to differentiate 2sec 2 (x)tan(x).. We can use the product and chain rules, and then simplify … WebAug 23, 2014 · The derivative of y=sec^2x + tan^2x is: 4sec^2xtanx Process: Since the derivative of a sum is equal to the sum of the derivatives, we can just derive sec^2x and tan^2x separately and add them together. For the derivative of sec^2x, we must apply the Chain Rule: F(x) = f(g(x)) F'(x) = f'(g(x))g'(x), with the outer function being x^2, and the … pujan path praveen pdf download