f. y=In(x8+1)

Q: * Find the fourth derivative 1 y=x²- HJXJ

A:

Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: 2 -

A: Chain Rule : (fg(x))' = f'(g(x)).g'(x). d(ax+b)ndx = n.a(ax+b)n-1 dtanxdx = sec2(x)

Q: Find the derivative y=cos(2x-x^2)

A: Properties used:

Q: Find the third derivatives of the function f (x) = e sin (2x)

A:

Q: Find the derivative. y = cos-1(x2)

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Find the requested higher-order derivative for the given function. d3y of y = x" - sec(x) dx3

A: Given that y=x11-secx and we have to find third order derivative of y with respect to 'x' that is…

Q: Find the derivative of the function. f(x) = 4 tan -1 (e 11x) f'(x) = D

A:

Q: Find the second order derivative of ycos³(2x).

A:

Q: Find the derivative of the function. y=e 8x-5 In (8x-5) dy

A:

Q: Find the third derivative. 1 (x + y)Z + (x – y)Z = a

A:

Q: Find the 30th derivative of y = cos(2x). f(30)(x) =

A: Take the derivative multi times and observe the pattern then write the required answer.

Q: Find the first three derivatives of y = x(In x)³

A: given problem :y=xlnx3

Q: Z = 1+x2 ; d'z/dx?

A: Given: Z = 21+x2 To find: The derivative, d2 Zdx2 in simplified form.

Q: Find the derivative of the function. sin(x) y = In(1 + 6v) dv cos(x)

A: Find the derivative of the following function

Q: Find the second derivative of f(x) * f(x) = cos² 7x

A: The given function is: fx=cos27x   As we know that; The Chain Rule: fgx'=f'gx·g'x The Product Rule:…

Q: B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In x² + y²

A: Given,            f(x, y)=3xy2+2xy+x2ln1x2+y2

Q: Find the derivative of the function. y = 5 cos(9x + 1)

A:

Q: Find the derivatives of the functions defined as y = sin e4x

A: Given:y=sin e4x

Q: Find the derivatives of the functions y = sin-1√1 - u2, 0 < u < 1

A:

Q: Compute the derivatives. Use the fact that e2+x = e2 . ex to find d/dx (ex+2).

A: ddxex+2

Q: Find the derivative of the given function. y = x² sin 'x+x cos 4x

A: For     y=fx gx    dydx=fx ddxgx+gxddxfx   This is the multiplication rule of derivative .

Q: The 2nd derivative of the given functions is y = 3 cos (4x – 5)

A:

Q: Find the derivatives of the functions defined as y = cos (4e2x)

A: Given information: The function is y=cos4e2x. Concept used: Chain rule of…

Q: Find the derivative of the function. y = e In(7x)

A:

Q: Shows the derivative function of: u³ + 2u, where u = x² + 3

A: Let's find.

Q: Obtain the derivative of the function y y = (e*1) (In(2cos(x² – 4x))

A: The given function is: y=e3x+1ln2cosx2-4x

Q: Find the derivative of the function.

A: To find derivative of the function y=e2xe2x+1. Solution: Quotient rule of differentiation states…

Q: The derivative of the function y = tan(In(vx2 –- 6x + 1)) is: |

A:

Q: The derivative of the function y = x² In(x + 1) is:

A:

Q: Calculate the second derivative of the function y = f (x) defined by the equation x³ + y +3xy + 3y²…

A:

Q: Find the derivative of the function. "sin(x) In(7 + 9v) dv /cos(x) y'(x) =

A:

Q: Find the 10th-order derivative of the function y=(x2+4x+1)√ex at the point x=0.

A:

Q: Find the derivative of y = x 1 cOS x 2

A:

Q: Find the second derivative of the function y = x In 2x.

A:

Q: Find the derivative of the function. f(x) = e In( Vx + 8 f'(x) =

A: Given, f(x) = ex ln(x+8) We have the formulas d(ex)/dx = ex                       ...........(1)…

Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: %3D

A: Formula:ddx(tan x) = sec2xddx(ln x) =1xddx(xn) =n xn-1

Q: find the second derivative of y = x In x A 1/x в) 1/2х D) 2x

A:

Q: Find the derivatives of the functions k(x) = x2 sec (1/x)

A:

Q: The derivative of y = sin(e2x) is: 1. e2xcos(e2x) 2. 2cos(e2x) 3. 2e2xcos(e2x) 4. 2xcos(e2x)

A:

Q: Find the given flx), + 2x derivative of function. %3D a+x

A:

Q: Find the derivatives of the functions defined as . y = cos4 x

A: Given function, y = cos4 x

Q: Find the derivative: f(x) = cos 1 + e8x 1- e6x – ebz f'(x) =

A:

Q: Find the 10th derivative of y = cos 3x. f(10)(x) =

A: Given, y=cos3x

Q: find the derivative. y = cos−1(x2)

A:

Q: Find the first and second derivatives of the function.

A:

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x³-5x)* 1. у3D ; d'y/dx³

A:

Q: Which is the first derivative of y=vx ?

A:

Q: Find the first and second derivatives of the function  y = cos (x 2 )

A: We have to find first and second derivatives of the function: y=cos x2 We know formula of…

Q: Find the derivative of y with respect to x. 3. (x² + y²)² =ay²

A: The equation given to us is

Q: Which is the first derivative of y=vx ? *

A: Given Data: y=x Formula: d(xn)dx=nxn-1