Find the formula for the Laplace transform of the derivative of a function y'. Use the initial condition y(0) = y0, use y and y' respectively for y(t) and y' (t) and Y for the Laplace transform of y. L{y'(t)}(s) = | -sty' (t)dt e

Q: Determine Step 3 using 4-Step Rule in finding the derivative of  y=2sin(x)cos(x).

A: Introduction: The four-step method to find derivatives is actually determining the derivative of a…

Q: Find the derivative of the function. rsin(x) y = In(1 + 5v) dv y'(x) = sin x In(1+5 cos x) + cos x…

A:

Q: Find the derivative of the function. 2x F(x) = arctan(t) dt Vx F'(x) : %D

A: The given problem is to find the derivative of the given definite integral function. We have to use…

Q: Use implicit differentiation to find y' for 4x³y² + ln(xy³) Answer exactly. y' (1, 1) = 4 and then…

A:

Q: 3x t²- - 1 Let F(x) = √ 12 + 1 dt. 2x (i.e. the derivative of F(x) with respect to x). What is…

A:

Q: Find  dy/dx by implicit differentiation. x2/x+y = y2 + 4

A:

Q: Find the derivative of the following function F(2) = (2t – 1)° dt using the Fundamental Theorem of…

A: Fundamental theorem of calculus If f(x) is a continuous function on an interval [a, b]  and the…

Q: Calculate the derivative of y with respect to x. Express derivative in terms of x and y. e6xy = sin…

A:

Q: a) x'+y = In xy x(t)3Darcsin VI+r' b) teR-(0} y(t)%3Darccos V1-1

A: (a) Consider the given equation. xy+yx=lnxy We have to find derivativedydxhere.…