Differentiate. f(x) = (7x² – 2x)e* f'(x) =

Q: find the derivative of the log functions: y = ln(x√x2 – 6) f(x) = ln(2x/x+1)

A:

Q: find derivative of g(x)=integration3x2x (u2-1)/(u2+1) du

A:

Q: Shows the derivative function of: 2x² + ln x²(2x² + 5x − 1)

A:

Q: 3x y=3- + Arccos V8-x3

A: We have to find out the first derivative  .

Q: 3.

A: Indefinite Integration

Q: Find the derivative.

A:

Q: 1. у %3D х+/x

A: Topic = Derivative As per guidelines , At  a time only one question can be answered out of different…

Q: (4) Find the derivative of f(x)= tanx+5

A:

Q: 2X Y=ln (3") +sec (Inx)+tan (ln5x)

A: We will differentiate the function and simplify.   The detailed solution is as follows below:

Q: Find the derivatives of the functions in Exercis y = (1 + 2x)e-2x

A:

Q: What is the derivative of 2(x)ln(x)+x

A:

Q: find the derivative of the function  y'=ln(squared root of x^2-4) and  y=ln IsinxI

A: The given function is y=lnx2-4. Obtain the derivative as follows.…

Q: x³tanh² (x*) sech²(x*) dx

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: f (x) = ln(x · 5*)

A:

Q: Differentiate f (x) = (ex + e-x)/(ex - e-x)

A: We have to differentiate the function: fx=ex+e-xex-e-x Here two function are in ratio so we need to…

Q: Shows the derivative function of: e3x+5

A:

Q: Find the equilibria of the differential eq

A:

Q: Find the anti-derivative: x2/3 dx. Upload Choose a File

A: Using simple integration method to solve the question.    Attached below is the detailed solution.

Q: find derivative y=square root of (1+ x times e^-2x)

A:

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A: y = (lnx)lnx Take log to the natural base e on both the sides to get,

Q: 2.Find the derivative of y = In cosh x. %3D

A: Using chain rule of differentiation.

Q: Log Activity CALL l.y=log4 (3x2 -5x) In 9x4 2.y= 3.y= Inx3 X-5

A:

Q: Find the derivative: y = ln(24) 2x-4 O 4x-x² 2x-4 x²-4x 4 4x-x² 4 x²-4x O о O 8

A:

Q: Use the sign of the derivative to establish the inequaltiy ln(1 + x) > x − x2 2 , ∀x >0

A: SOLUTION-

Q: find th first derivative: x=2cos2 t/2

A: we need to find the first derivative of

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

A:

Q: Integrate ∫(ln(x))/x

A: We need to integrate the given logarithm function:

Q: Brd Derivative OF y=-Jin3x

A:

Q: a the derivative of h(x) = ln + 2 x5 et |

A:

Q: Find the derivative of xn by first principle or ab-initio method.

A:

Q: x(2x+3) 17. f(x) =- (x° +1)

A:

Q: Find 1st and 2nd derivative of:   f(x)=(5x^4 + 3x^2)*ln(x^2)

A:

Q: 5. y=x3 Find derivative ldv 4.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Find the derivative y=ln(2x^3+6x-1)^3

A: y=ln2x3+6x-13 take derivative y'=ddxln2x3+6x-13 y'=12x3+6x-13ddx2x3+6x-13

Q: 1. Use logarithmic differentiation to find first derivative of y = xsinx

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: 4 Find the first derivative of y = In X +

A:

Q: Find the first and second derivative of f(x) = ln(x)/rootX

A:

Q: Find the equation of the line tangent to the graph of y = 6 ln(x) at x = 3. Tangent Line: y =

A: We have to find the slope of tangent at first.

Q: 10. Find the first derivative: f(x) = (x³ + 2x) In x %3D

A:

Q: k(x) = x In x %3D

A:

Q: Compute the derivative of (ln x)^ln x

A: To find the derivative of (ln x)ln x Using the exponent rule ab=eb ln a we get, (ln x)ln x=e(ln x)ln…

Q: Differentiate the function. y=ln(x5sin2x)

A: Given function:

Q: nd derivative of f(x) = x In(x)

A: We have to find the second derivative of the given function

Q: Find the derivative of  f (x) = ln( ln (ln 3x))

A: To find the derivative of f(x) = ln( ln (ln 3x)), differentiate f(x) with respect to x.

Q: 4x dx

A:

Q: The L'Hopital rule and The derivative of the exponential function. lim (ex + x³)*:

A: Use l hospital rule

Q: find any locl maximum and locl minimum values by using first derivative: f(x)=x*-2x?

A: The given function: f(x)=x4-2x2 To find the first derivative of the function: f'(x)=4x3-4x Now, let…

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A: