Calculate the derivative. 3 y = log 3X y' =D

Q: Find the derivative. y = e(lnx)2

A: dydx=ddx e(lnx)2        =e(lnx)2 ddx2(ln x)         =e(lnx)2 2x

Q: Find the derivative of the exponential function. Y = x'e-5x dy dx

A:

Q: 5

A:

Q: Find the derivative. y= log (8x) y =0

A: The given equation is: y=log(8x)Let,   8x=ty=logt

Q: Find the derivative of the function y = etan(e) y' =

A: Explanation of the answer is as follows

Q: (x² +1)° {2x+1 V3x? +4 4. Use Logarithmic Differentiation to find the derivative dy / dx for y =-

A:

Q: Find the derivative of the function y = √(e2x + e−2x)

A:

Q: 13 Find the derivative of the function. Y = 2² + cos" (xx) a

A: Solution:- Given function is  y= a4+cos4(x)           ----------(1) Here, the variable is 'x' and…

Q: Find the derivative Of g(t)=ln(e^-t+2t)

A:

Q: e +e =e**

A:

Q: Find the derivative of the function

A:

Q: 30. Find the derivative of the function: y= xe™*

A: The given function is, y=x e-x The derivative of the product of the function u and v is given by:…

Q: Find the first derivative of the function (xy)* = e.

A: Explanation of the answer is as follows

Q: Find the derivative of the exponential function. y = e5x tan(5x)

A: given that  y =e5x  tan(5x)  So dy/dx=e5x d/dx(tan 5x)+tan (5x). d/dx(e5x)                 i.e…

Q: Find the first derivative for y = e

A: Given function is, y=e

Q: ア=e y =,

A:

Q: d. y = ار نے

A:

Q: Find the second derivatives. d2/dt2 ln(ln t)

A: To find the second derivative of lnln t. Solution: Let y=lnln t Chain rule of differentiation states…

Q: Find the derivative. y = e(ln x)2

A:

Q: find the derivative of y with respect to the givenindependent variable.73.y = log2 5u…

A: we have to find the derivative of y with respect to the given independent variable. (73) y=log25u…

Q: Find the derivative of the function y = log4 (6x + 1)

A: Given information: y=log46x+1 Log rule: logab=lnblna

Q: what is the derivative to y= e^-1?

A: Given,

Q: Find the y 'values and differentials for?

A:

Q: Find the derivative of y with respect to the independent variable. x8)n 5) y =log 5 x-8

A: using the fact of logarithmic  logax=lnxln(a) find the derivative

Q: Find the derivatives of the functions y = ln cos-1 x

A: The given function is y=lncos-1x.

Q: Find the derivative of the function y = In(5e – 9xe "). y = ||

A:

Q: Determine the first derivative of the ff. function x? + 1) y = V1 + In x

A: y=x2+11+lnx

Q: Calculate the derivative of the following function. y = log 11(x-11) d. dx log 11(x- 11) =

A:

Q: 20. Evaluate the derivative. 4 (sinh ) dx O

A: ddxsinh-1ex

Q: (12) Find the derivative of the function Y = cos (a³ + x³)

A:

Q: find the derivative of y with respect to the givenindependent variable. y = 3 log8 (log2 t)

A:

Q: Find the derivative of the function.

A: First, we expand using properties of log

Q: Find the derivative of y with respect to the given independent variable. dy dx 5 y = log 16 ex-log…

A: Given y = log16ex - log4x5

Q: Find the derivative d (2* log2 x) dx

A:

Q: Find the derivatives of the functions y = log2 (x2/2)

A: Given that y=log2(x22)

Q: 19. e* +e = e**y

A: Solution ) ex + ey = ex + y  Differentiate with respect to x d/dx ( ex + ey )  = d/dx ( ex + y ) […

Q: Find the derivative of the function

A: Find the derivative of the function

Q: Find the derivative of the function y = log5 √(x2 − 1 )

A: Here given function as y=log5x2-1 or y=log x2-1log 5 The power rule for derivatives is expressed as…

Q: Find the derivative of the function. f(0) = 3 ln(6)Pe

A:

Q: B) Find derivative of the following function d dx 6tanz

A: A detailed solution is given below.

Q: g. y = x e 2x h. y = 4sin 2x

A:

Q: Calculate the derivative of the following function. y=6 log 3 (x - 9) d 6 log 3 (x - 9) =D dx

A: d/dx [ f(x) ] = 1/ f(x) * d/dx[f(x)]

Q: Find the derivative of the function y = 0.5 In (e +1).

A: See answer below.

Q: Solve the problems below: 1. Find the 25 derivative of y=x. 2. Find the nth order derivative of the…

A: 1. Consider the given function, y=x20 the first derivative of the function will be,…

Q: Find the derivative of the function

A:

Q: Can i get help step by step?

A: Given,

Q: Can you help me with this problem step by step?

A: Consider the given function:

Q: Find the derivative of the function.

A: Here given function  y=ex-1ex+1

Q: Q(2) Find the derivative of loge[cosh(x)]

A: Derivative of a function

Q: Can i get help step by step please

A: We have to use the power rule because of exponent -1 and then use the chain rule for (cscx-cotx).

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: