WebCalculus questions and answers. For the following exercises, find dy/dx for the given functions. 176. y=3 csc x+5/𝑥 180. y=sin x tan x For the following exercises, find d2y/dx2 for the given functions. 192. y=sin x cos x 198. Find all x values on the graph of 𝑓 (𝑥)= 𝑥−2 cos x for 0<2𝜋 where the tangent line has slope 2. WebOct 22, 2024 · STEP 1: # sec x = 1 / cos x # STEP 2: Use the quotient rule to find the derivative of # Sec x = 1 / cos x # # (d/dx 1 * (cos x) - d/dx cosx * (1)) / (cosx)^2 # STEP 3: Simplify

Find dy/dx using any of the methods. $$ y=\csc ^{-1}\left - Quizlet

WebFind dy/dx x=csc (y) x = csc(y) x = csc ( y) Differentiate both sides of the equation. d dx (x) = d dx (csc(y)) d d x ( x) = d d x ( csc ( y)) Differentiate using the Power Rule which states that d dx [xn] d d x [ x n] is nxn−1 n x n - 1 where n = 1 n = 1. 1 1 Differentiate the right … WebThe Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice … in a real life

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Web+1+C csc π 2 = 1+C, so that C = 1. Hence, the initial value problem is solved by y = −xcotx+1+cscx. 7. Let y 1(x) and y 2(x) be solutions of the linear first order differential equation a 1(x) dy dx +a 0(x)y = 0 (∗∗∗) and let c 1 and c 2 be constants. Check that c 1 y 1(x)+c 2 y 2(x) also solves (∗∗∗). 4 WebTo find the implicit derivative, take the derivative of both sides of the equation with respect to the independent variable then solve for the derivative of the dependent variable with respect to the independent variable. WebFree math lessons and math homework help from basic math to algebra, geometry and beyond. Students, teachers, parents, and everyone can find solutions to their math problems instantly. inalfa holland