i. y= ) In (x+3

Q: Calculate the derivative of the following functions.

A: The derivative of a function is the rate of change of the function. The derivative at a point on the…

Q: Find the derivative of y with respect to the independent variable. 24) y = 2ln 10t

A:

Q: Find the derivative of the following function. y (In ]x + 4|)7 dy

A: Differentiate w.r.t to x

Q: Find the derivative of the function.

A: Given, To evaluate derivative

Q: Find the derivative of the following function. 7x e y= In 4x y =D

A:

Q: Calculate the derivative of the following functions.

A: Given: y=sinsinex Solution: Chain rule of differentiation states that: ddxfgx=f'gx·g'x…

Q: find the derivative of y with respect to the givenindependent variable. y = t1-e

A: In this equation the independent variable is t So we will differentiate with respect to t

Q: Find the derivative of the function y=ax+ba+b, where a and b are constants.

A:

Q: Calculate the derivative of the following functions. y = cos 5t

A: Given ,          y=cos 5t

Q: Find the derivative of the following function. y= sin x + cos x / ex

A:

Q: Find the derivative of y with respect to Z. y=72?)

A: Given,         y=7z2

Q: Find the derivative of the function.

A:

Q: Find the derivative of * T (x) = Va + 9 Væ? 2.

A: Given T(x)=x+9x73-2x25…

Q: Find the derivative of the function y = coth−1 (e2x)

A:

Q: Find the derivative. y = In(t5t)

A: Consider the given equation y=lnt5t and simplify it. Use the logarithmic properties to simplify it.…

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

A:

Q: find the derivative of y=√e^x +1

A: The given function is

Q: Find the derivative of the function = ex? y =

A: y=ex7

Q: Find the derivative. y = In /x+7 y' = D

A:

Q: y = (sin x) ³

A: Given function is  y = (sinx)y   this is explicit function of x and y.  So, first we will take…

Q: Find the derivative of the following function. 3 8x y = In x y'=0

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. y 2xe X- 2e X O 2xeX O 2xeX +…

A: Finding the derivative

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

A:

Q: Find the derivative of the function. y = e In(7x)

A:

Q: Calculate the derivative of y with respect to x, if a°y+5xy° = x+y. dy dx

A:

Q: Find the derivative of y with respect to x if y = (12x - 24x + 24) e - 3x. y' =D %3D

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Find the derivative of the following function. y= In (x3 + 2) * dy dx

A:

Q: Find the derivative of the function. y = cos(a + x*) У (x) %3

A:

Q: Find the derivative of the function.

A: Given function is Differentiating with respect to x by using product rule of differentiation, we…

Q: The derivative of the function y = x² In(x + 1) is:

A:

Q: Find the derivative of the given function. y =x² Vx-

A:

Q: Find the derivative of y with respect to x in the following functions: y= Ju +2u and u x2-3

A:

Q: Find the derivative of y with respect to x in the following functions: y= Vu +2u and u=x²-3

A: Derivative of  function signifies the rate of change of a function.

Q: Calculate the derivative of the following function. y = (3x-4x°+4)24 y%3D dy dx

A: Please see the below explanation:

Q: find the derivative of y=1/b²[a+bx-aln(a+bx) where a and b are constants

A: Derivative of function

Q: Find the derivative. y = In /x+5 y' =D

A:

Q: Find the derivative of y with respect to x. 1. x² + 4y² = 4ay

A: Given:   To find: Derivative of y w.r.t. x:

Q: Calculate the derivative of the following function. y = /x + Vx dy dx

A:

Q: Find the derivative of the function y = e5x

A: To find the derivative of the function y=e5x

Q: Find the derivative of the following function. 8x e y= In 4x y'=

A:

Q: help please

A: The derivative of the sum of two functions is the sum of the derivatives of the two functions. i.e.…

Q: Calculate the derivative of the following function. y = (3x+ 4) dx

A: y = (3x+4)3  we use chain rule to solve the problem

Q: The 60th derivative of x with respect to y of y = x^60 is 60!x

A:

Q: Find the derivative of the following function. y = 2 sec x+ csc x dy dx

A: The given function is,

Q: Find the derivative of the function. y = a° + cos (x) y'(x)

A:

Q: y" a ||

A: This is the problem of Autonomous Differential equations.

Q: The derivative of the function () y = In is: tan x,

A:

Q: Find the derivative of y with respect to z. y=2 (29)

A: Given : y = 2z9

Q: Calculate the derivative of the following functions. y = sec (3x + 1)

A: Given:  y = sec (3x + 1)

Q: Find the derivative of the following function. y=5.3-2 dy dx

A: We can find the derivative of the given function as below