Which of the tollawing differential eouations corresponding to the potertial Vix) = 2x - x

Q: Calculate the derivative indicated.

A: given,        A=dPdVV=-2     where P=7/V

Q: nd the fest and second derivatives of y= 14e"

A:

Q: Use logarithmic differentiation to find dy/dx of y=(lnx)lnx

A:

Q: xy = e2x; y 2х ху — е

A: We will find y' as following.

Q: question

A:

Q: Definew the term differentials?

A: Differential is an expression in mathematics based on the derivative concept that are useful for…

Q: What is the derivative of y = ekx? For what values of k does this rule apply?

A: Given function is, y=ekx. The derivative of the given function is found as follows: dydx=ddxekx=kekx

Q: Given Derivative Sx) = 3x2 + 7x + 1

A: Given function: fx=3x2+7x+1 Basic concept: Here we shall use basic power rule. fx=cxnf'x=cnxn-1

Q: y = log x where x = e Find the tangent line and normal line

A: Consider the following equation: y=logx                       ...... 1 Substitute x=e in the above…

Q: tind the derivative using the chfinition +(x) 9x %3D

A:

Q: Use x = e to explain why dx (In x) = = -, for x> 0.

A: To differentiate x=ey, with respect to x, use the exponential function rule, ddxef(x)=ef(x)ddxf(x).…

Q: Use backward-difference formula to evaluate the first derivative of y = ³-4 at x = 0 using a value…

A:

Q: 1. 8rd Derivative of fC x) = 4 x³ - 8x5 1

A: We will use just the basic knowledge of differential calculus to answer this question step-wise.

Q: 19. e* +e = e**y

A: Solution ) ex + ey = ex + y  Differentiate with respect to x d/dx ( ex + ey )  = d/dx ( ex + y ) […

Q: 3. y = x/x + vx

A: As per our guidelines we are supposed to solve only one question i.e. the question no (3). For the…