10)Find the first derivative or f’(x) of the following functions using long method derivatives

Q: Find the second derivative for the functions defined as follows g(x) = 4x(ln x)

A: We have to find second derivative of the function: gx=4x lnx Since two function are in product so we…

Q: 10. Find the first derivative: f(x) = (x³ + 2x) In x

A: Given Data: Function: fx=x3+2xlnx The product rule of derivative is, ddxfx·gx=fxddxgx+gxddxfx Use…

Q: Find the derivative of y = sin x³ cos x?

A: As per our  guidelines we are supposed to answer only one question. Kindly repost  others  questions…

Q: Find the derivative of y=ln^3(tan^-1x)

A:

Q: Find the derivative of f(x)=ln(x^3-x+2)

A:

Q: 4. By implicit differentiation , find the 1st derivative of x3 + y3 + 6xy = 0

A:

Q: What is the derivative of 1+x3 at the point (1, )? O 1/4 O- 1/4 O 1

A:

Q: Find the first derivative of g(x) = - 9e* tan(x). : (x),6

A:

Q: Find the derivative of ƒ (x) = 5ª In (x).

A:

Q: Find the derivative of function and simply it whenever possible y= ln(ln sec x)

A:

Q: Derive the formula for the derivative with respect to x of csc x.

A: We will write cscx= 1/sinx  Then we will use the quotient rule to differentiate

Q: 2х- 3 3. У3 5x +1

A:

Q: 1. Find the first derivative by using the definition for f(x) = 3x² – 2x – 5, hence - find f'(-2)

A: Derivative of a function is ratio of difference in output and difference in input.

Q: Find. the derivative of tan(x)). with respect to X 1- y3=

A: Explanation of the answer is as follows

Q: Find the first and second derivative of any function defined implicitly by yx2+ y2= x

A: Given,           yx2+y2=x

Q: 8. Find the derivative of f(x) = (1+x³)' ( 14x + - ) using differentiation rules.

A: topic - derivative of a function

Q: Find the derative: yain Jx2+4x+1 derivative.

A:

Q: Find the derivative of the following: y=−x2⋅sinx

A:

Q: 5) Find the derivative using logarithmic differentiation: y = Xcanx

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: 11 In(x)sin (x²). Find the first derivative of g(x) (x),6

A: As we know that: The product rule: f·g'=f'·g+f·g' The chain rule: fgx'=f'gx·g'x The Power law:…

Q: 18) Find the first derivative of y = 1 -sin² x - 4

A: The given function is: y=14sin2x

Q: 2) Find the derivative of the function f(x) = (x³ – tan(4x² – 2)* |

A: Given :            To find the derivative of the given function                f(x) = x3 -…

Q: 2. Sketch the graph of a tangent line of the function f(x) = at x = -1. And then find 1- x the…

A:

Q: Find the second derivative using implicit differentiation of the given xa + ya = aa

A:

Q: 17. Find the first derivative for J(x)=tan0x sec0

A:

Q: If 4xy = x² + y², use implicit differentiation to find y" (that is, the second derivative of y with…

A: NOTE: Refresh your page if you can't see any equations. . take derivative divide both sides by…

Q: Find the derivative of n^(ln⁡(cosu)). Where n=822

A: Given information : nlncosu Here, n=822. we have to find the derivative of given function.

Q: In 2x y = - cos x

A: ddxln 2xcos x= ddxln 2x . cos x - ln 2x.ddxcos xcos2 x= 12x. 2. cos x - ln 2x.(-sin x)cos2x= cos xx…

Q: 3// By using logarithmic differentiation and with respect to independent variable x, find the…

A:

Q: y=x²

A: I have stated the used formula in the solution

Q: Find the derivative of the function. y = -4 sin 7x

A:

Q: 4. Find the derivative of the following function. 1+ sinx g(x) = - V1+ cos x

A: Given: gx=1+sinx1+cosx for finding derivative of given function, first we simplify given expression…

Q: Compute the derivative of the function y = 6 cos- (7x) at the point x = (Use symbolic notation and…

A:

Q: 5. y³ = 4(y + x²)

A:

Q: Find the first derivative of the function of f(x) using any method?

A: Given,

Q: 22 Find the 43rd derivative of (1 + x²)“ at x = 0. 0.

A:

Q: 1. Y= 3x -x- 2

A: Find your answer below

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (θ + 1) - eθ

A:

Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = ln (2e-tsin t)

A: On simplification, we get

Q: Find the second derivative using implicit differentiation of the given xì + yi = a

A:

Q: Find the derivative of h(x) = sin2x

A:

Q: 19. Find the derivative of 16 = xy using implicit differentiation.

A:

Q: Find the first derivative of 1 2 y -sin?

A: Explained below

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (sec (ln θ))

A:

Q: Shows the derivative function of: x³  + ln x(3x² + 5)

A:

Q: Find the first derivative of h(x) if h(x) = cos (x – 2x) -

A: h(x) = cos2(x3-2x)

Q: Find the derivative of nin (cosu). Where n=540

A:

Q: Obtain the first derivative of the function f (x) = sinx/x using Richardson's extrapolation with h =…

A: Given  f(x) = sinxx we have to obtained the first derivative of f(x) by using  Richardson's…

Q: Example 2.35: Using Implicit Differentiation to Find a Second Derivative d'y dx Find if x +y² = 25.

A: Explanation of the answer is as follows