Find the derivative of f( x ) = 2* log,(z + 5.5) f'(z) = %3|

Q: Find the derivative of the function.   f(x) = x5 ln(x)   f'(x)=

A: We have to find the derivative of function: fx=x5lnx Here there are two function in multiplication…

Q: Find the derivative of f(x) = COS 4 log3 (x²) os(5x)

A: Explanation of the answer is as follows

Q: Find the derivative of the function. f(x) = In(sinh(x)) f '(x) =

A: f(x) = ln(sinh(x)) here we use chain rule f'(x) = cosh(x)/sinh(x) f'(x) = cot(h(x))

Q: Find the derivative of the function. y = x°cos x - 10x sin x - 10 cos x

A:

Q: Use three-point midpoint formula to evaluate the first derivative of y = cos(x) at x = 5 using a…

A: Given function is y=cosx. We have to find the first derivative of y=cosx at x=π2 using a value of…

Q: Find the derivative of f( x ) = 2° log3(z + 2.5) f'(x) =

A: The first derivative of the function is . The product rule of the differentiation is .

Q: find the derivative of y with respect to the givenindependent variable.

A:

Q: L(x) = In(x)+log,(x)

A: Used formulas : ddx(logax) = 1x ln a ln x = loge xloge e = ln e = 1ln 5 =1.61

Q: 3. Use logarithmic differentiation to find the derivative of y with respect to the given independent…

A:

Q: Find the derivative, if y3 (log x)* + y = (log x)* +(sinx) -1

A:

Q: 3. Use logarithmic differentiation to find the derivative of y with respect to the given independent

A: Part a,Given,           y=x2+1x-12

Q: Compute the derivative in terms of log for y=log(xe^(-3x))

A:

Q: 5th derivative of y = log x^5 to the base 2

A:

Q: 1 Find the first derivative given that f(x) = xdx +

A:

Q: Find the derivative of the function. rlx) = [in[x*}}°

A:

Q: Estimate the instantaneous rate of change at the point x=2 for f(x)=ln(x) ROC =

A: the fiven function is f(x)=ln(x)

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

A:

Q: Find the 139th derivative of y=cos x а. Cos x b. Sin x С. -Cos x d. -Sin x

A:

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 derivative of the function. y = 3 x tanh-1 x + 3 In/1 - x2 y' =

A: Product Rule of Differentiation : d(u.v)dx = u.dvdx+dudx.v

Q: Find the second derivative of g(x) = sinh(x) cosh(x)

A:

Q: Find the derivative of z=(ln5)e^x dz/dx=

A:

Q: Use three-point midpoint formula to evaluate the first derivative of y = cos(x) at x =; using a…

A: The three-point midpoint rule to calculate f'(x) is f'(x)≈f(x+h)-f(x-h)2h, where h is the step size.

Q: (d) y = xnz²

A:

Q: What is the first derivative of the expression (xy)× = e?

A: See the details solution in below

Q: State the derivative rule for the exponential function ƒ(x) = bx.How does it differ from the…

A: Derivative rule for bx. The derivative of fx=bx is given by f'x=bx lnb.

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

A:

Q: Can you help me step by step?

A: To differentiate the given expression y=f(x)

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: find the derivative of y with respect to x. y= ln3x

A: We can solve the given problem using chain rule derivative.

Q: what is the derivative of f(x)=ln(tanhx)

A:

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

A: Consider the following equation: y=exlnx Differentiate y with respect to x: dydx=ddxexlnx Apply the…

Q: find the derivative of y with respect to the givenindependent variable. y = log4 x + log4 x2

A: Given: By using logarithm base change rule, the function can be rewritten as follows,

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

A:

Q: find the derivative of y with respect to the givenindependent variable. y = log2 5θ

A:

Q: Find the derivative of the function - 3x f(x) = 3 ln(x) + e - df dx

A:

Q: find the derivative of y with respect to the givenindependent variable. y = log25 ex - log5 √x

A:

Q: Use forward-difference formula to evaluate the first derivative of y = tan(x) at x = 4 using a value…

A: Given function is y=tanx. We have to find the first derivative of y=tanx at x=π4 using a value of…

Q: Find the 2nd derivative of the given function fCt) = t² Int

A:

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

A:

Q: 13. Use Logarithmic Differentiation to find the derivative dy/ dx for f(x)= x

A: *As per our guidelines we are allowed to answer only 1 question at a time. Kindly please re-post…

Q: Find the derivative of the function.

A: Given

Q: Find the derivative of y= log, (5x³)+log, (sin.x)

A:

Q: 4.x³ (log3 x)° b. y = (csc5 x) /sinh(2x – 8)

A:

Q: Compute the derivative of the given function. f (x) = 2 ln x – vT

A: Given fx=2lnx-x To find the derivative:

Q: find the derivative of y with respect to the givenindependent variable. y = log5 ex

A: On simplification, we get

Q: find the derivative of y with respect to the givenindependent variable. y = log3 (1 + θ ln 3)

A:

Q: Find the derivative of the function. h(x) = ets. - x + 1

A: Differentiate w.r.t x

Q: 3. Use logarithmic differentiation to find the derivative of the function. (2x – 1) Vx+1 y =

A: giveny=(2x2-1)5x+13taking log on both sidelogy=log(2x2-1)5x+13using log…

Q: Find the derivative of f(x) = 3/x ln(x), f' (æ) =

A: Chufu