Find the first derivative. (a) y=x* (b) y =xnx 2.

Q: find the derivative of the function  f(x) = e5x sec x

A:

Q: i. y= ) In (x+3

A:

Q: Find the 2nd derivative of y with respect to x : y=xe^2x

A:

Q: Find the first derivative of y = e3x. 3e3x

A:

Q: A second derivative Findd2y/dx2 if x2 + y2 = 1.

A:

Q: Find the derivative of the function. y = tan an-¹ (√x-4)

A: We can find the derivative using chain rule as below.

Q: Find the derivative. y= 5x e -x

A: Given :             y = 5x2e-x To Find :                  To find the derivative

Q: Find the derivative.

A:

Q: Find the derivative of the function. y = x2 ln x

A: We use the product rule to find the derivative

Q: Calculate the derivative (implicit derivative): y + 19xy = Cos(7x³ - 5y) |

A: topic - implicit differentiation

Q: x + x dx x2

A:

Q: 3. Find derivative of the function y = x tan-(4x)

A: we have to find the derivative of y

Q: Find the derivative of the function. y = e-2x sin x

A: The derivative of the product of two functions f(x) and g(x) can be determined using the product…

Q: Find the fourth derivative of the given function. y = sinx

A: Given query is to find the fourth derivative.

Q: Find the derivative of the function. y = (ln x)4

A:

Q: Find the First Derivative:  v=csc 7x

A:

Q: Find the derivative of the function y = ln(9 – e-ª).

A:

Q: Find the derivative of the function. y = ln√(x2 − 4)

A:

Q: y = (cosx)ln*x|

A:

Q: how do you find the second derivative of f(x)=ln(x)?

A: on differentiation we get

Q: 8. Find the derivative of the function. y= In(1+x)

A:

Q: 3. Find the second derivative of y= xlnx

A:

Q: Find the derivative of the function y = ln(9 – e-"). f'(x) =

A: Given that y=ln(9-e-x) To find : Differentiation  y'=f'(x)=ddx(ln(9-e-x))=19-e-xddx(9-e-x)=e-x9-e-x

Q: Determine the first derivative of the ff. function y = Vxe2* cos x

A: Derivative of a function gives the tangent of the curve at a given point. Derivatives are used to…

Q: find the first and second derivatives of f(x) = ln (x+1)

A: f'(x)=1x+1 and  f''(x)=-1(x+1)2

Q: Find the derivative of the function. y = x2 ln x2

A: Consider the provided question, We have to find the derivative of the given function,

Q: 5-x. Calculate the derivative of y with re

A:

Q: Compute the derivative: x4 – 4 d - at x = 2 dx x2 – 5 - The derivative is:

A:

Q: 3x y = .3 х +3x

A:

Q: Find the second derivative of x² y² + xe = 2 sin y

A: Solution is given below:

Q: 6 Find the 3rd derivative of y = (x-1)2

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find the second derivative of the function. g(x) = √x + ex ln x

A: Consider the given function gx=x+ex lnx Now, differentiate the given function with respect to x…

Q: ii) y = e**-2x + x²-e

A: We need to find the first derivative of the following y=ex3−2x+x2−e so we we need to find value of…

Q: Find the derivative of the function. y = ln(x√x2 − 1 )

A:

Q: solve the first and second derivative of Y= (1+lnx)  /  x

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: Find the derivative of the function. f(x) = ln(4x)   f '(x) =

A: Given function

Q: y +2xy =x+y

A:

Q: Find the derivative of the function g(x) = ln √2x

A:

Q: 3. Find the second derivative using implicit differentiation x² + y? = 4

A: Given that x2+y2=4To find implicit differentiation

Q: (b). Find the second derivative. y=x²-5vx

A:

Q: Find the first derivative y= ln(3x)

A:

Q: find the first derivative in the form of dy/dx y=(3x-ln(x))^5

A:

Q: Find the derivative of the function.

A: Given

Q: Find the first derivative of y = cos*x- sin*x.

A:

Q: Find the derivative of y=cos-1 (19x)

A: Consider the given function, y=cos-119x it can be written as, cosy=19x

Q: Find the second derivative y" if y = elnx³

A: Given,            y=elnx3

Q: Find the derivative of the function. y [x + (x + sin²(x))-1*

A:

Q: Find the first derivative of:   f(x) = ln [(5x+2)1/2 / csc(x)]

A:

Q: Find the first derivative of x² + 3xy + y3 = 10 implicitly.

A: The given function x2+3xy+y3=10

Q: 2) Find the first derivative of y = sec1(2e3*)

A: To find the first derivative of the given function.