find the second derivative and simplify the final result 9. xArctanx - ln (square root of x^2 + 1) = y

Q: Determine the first derivative of the ff. function y = tan(ln(cot(x² + 3 ln 3x)))

A: Chain rule of differentiation: f(g(x))'=f'(g(x))g'(x) Formulae used: ddxtanx=sec2xddxlnx =1xddxcot…

Q: Find the 24th derivative of y = -sinx

A: Topic = Derivative    The 24th derivative isy24 =-sinx

Q: Find the derivative of the logarithmic functions: y = ln (tan^2 θ )

A:

Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 2. y = 2 Arccos (1-x/2)+ Square root of…

A: Second order derivative.

Q: Find the 23rd derivative of y = -sinx Select one:

A: We have to find 23rd derivatives of y=-sinx

Q: find the derivative  f(x)= square root of 1-sin2x

A: The given funtion is,

Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

A: Given that  y=(sin9x)^(lnx) To find the derivative of y

Q: What is the derivative of (3x^2tanh(sin4x))

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: Va2 -x2 y=Arcsin + 6. X

A:

Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

A:

Q: Compute the derivative. (x) = ex sinx

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the derivative. Simplify where possible  y = cosh (ln x)

A:

Q: f(x) = 6x3 - 9x + 4 +4

A:

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

A: Given function is y=ex-12. To find the derivative of the given function. Solution: Chain rule of…

Q: Find both the derivative and indefinite integral of ƒ(x) = 4 cosh 2x.

A: Here given as ƒ(x) = 4 cosh 2x. Thus

Q: Find the derivative. Simplify where possible.

A:

Q: Find the derivative. Simplify where possible. f(x) =ln  ( cosh x )

A: fx=lncoshx

Q: Find the derivative of ln(2x2)+ln(2x)+1/3 where x=1

A: Given,           The derivative of  ln2x2+ln2x+13 where x=1

Q: 6. y%= arcsin a Va2-x2

A: Given: 6. y=xa2-x2-arcsinxa

Q: Find the derivative of  y=square root of2t

A:

Q: find the derivative f(x)=square root of 1-sin2x

A: The function f is in terms of x.Apply the chain rule and obtain the derivative of the given…

Q: In(tanhx)

A: As we know that; The chain rule: fgx'=f'gx·g'x And ddxtanhx=sech2x Given: fx=lntanhx

Q: y = In (csc 2)

A:

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

A:

Q: Find the second-order derivative of the function f(x) = log5 sin x + (2x2 - 8) / (x4 - 4x2). Please…

A:

Q: 222nd derivative of y = sin5x

A:

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

A:

Q: Determine the first derivative of the ff. function y = arcsin sin (4x²)

A: Given that y=arcsin sin4x2 To find the first derivative: ddxarcsin sin4x2=11-sin24x2·ddxsin4x2…

Q: Find the derivative of the following functions and simply it whenever possible. 8. y = ln…

A: First simplify the given function then use chain rule of derivative.

Q: Find the first derivative of ƒ(x) = 7x¹⁰² cot(x). 10 f'(x) =

A: Given :fx=7x10excotx

Q: What is the derivative of square root 2t?

A:

Q: Find the derivative. Simplify where possible. |(a) y = ln(coshx)

A: Find the derivatives

Q: What is the derivative of ln(sec(7x) + tan(7x))?

A: Let y = ln(sec(7x) + tan(7x)).Calculation:Obtain the derivatite of y as follows.

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

A: Explained below

Q: Compute the derivative ln(ex+1) / 2x+1

A:

Q: Calculate the derivative. y=3/log5x

A: Given function is

Q: Find the third derivative of y = (8x 1) solution and upload it on the designated field in jpeg or…

A: The given equation is y=8x-114to find the third derivative of the given function. Differentiation is…

Q: Find the 1st derivative of y= Arcsin x -v -V1-x²

A: To find the first derivative of y = sin-1x - 1-x2 sin y =x - 1-x2

Q: Find the derivative of 5-4x+x²+ln(7)

A: By using differentiation formula, we find the derivative of given function.

Q: use logarithmic differentiation to find the derivative of the function fx)=(sinhx)s(sx)

A: Given query is to find the derivative of the expression.

Q: Find the  1st derivative of : y-=sec3β tan2β

A:

Q: Find the first derivative by increment method. Show your complete solution. V12x – 3 Irolim Exam…

A:

Q: 7. y= ln 2x³ 5х-3

A: Explanation of the answer is as follows

Q: What is difference between the derivative of log(sin(x)) and the derivative of ln(sin(x))?

A: The difference between ln and log is the base of ln is e and the base of log is 10

Q: Solve the first and second derivative of y = cosh2x+ sinhx

A:

Q: derivative of log,10x is :

A: