Solve for the derivatives of the following functions with complete solutions. Use a separate sheet of paper for your answer. 1. y = In (5x²) 2. y = In (4 – 5x) 3. y = e sin3x

Q: y = In(x + Jx² +1)

A: This question is based on differentiation.

Q: Calculate the derivative of the following function. y = sin (9t – 10)

A: Use chain rule to perform this types of differentiation first let p= 9t-10    then find dp/dt and…

Q: Calculate the derivative of the following functions. y = cos7/4(4x3)

A: We use the power rule and chain rule to find the first derivative.

Q: 1. Find the derivative of each function below. ex² - 3x +1 y = In(2e¬t sin t) A y =

A:

Q: : Q2) Find the derivatives of each of the following functions? 1- y= tan (V3x + In(5x)) 2 y In…

A:

Q: Find derivatives of the functions defined as follows: y = 73x+1

A: y=73x+1ory=73x·7ory=7·73x Use formula of derivative ddxax=axln a

Q: Find the derivatives of the functions r = √(2θ sin θ)

A: Product rule of derivativef'u.v=v f'u+u.f'v or   u.v=u'v+v'uQuotient rule of…

Q: Find the derivatives of the functions defined as follows.

A: The given function is y=18sin 8x. Differentiate y with respect to x. y'=ddx18sin 8x=18ddxsin 8x

Q: Calculate the second and the third derivative of y =ar y" -(8/(pix^5)) -(48/(nix^7))

A:

Q: Solve for the first, second, and third derivatives of y = 1/(4 + x) and then find a formula for its…

A:

Q: -X sinh 1+x

A: This is the hyperbolic function.  We will find the derivative of the problem.  We know,  d/dx…

Q: Find the derivatives of the function defined as follows. y = sin e10x

A: Use the chain rule of derivation to find the derivative of y=sin(e10x). Find the derivative of sin…

Q: Find the 30th derivative of y = cos(2x). f(30)(x) =

A: Take the derivative multi times and observe the pattern then write the required answer.

Q: Find the derivative of the following functions without skipping steps y = - cos ? (3x) + ctg² (5x³)…

A:

Q: Find the derivatives of the functions y = (3 + cos3 3x)-1/3

A: Given that, y=3+cos33x-13

Q: Find the derivative of y with respect to the independent variable. y = 10cos T) -.... A. - 10coS TO…

A:

Q: cos (5x-0.1) w(x) =- e*

A:

Q: Find derivatives of the functions defined as follows: y = (x + 3)2e4x

A: Chain Rule of differentiation: ddxf(g(x))=f'(g(x))g'(x) Product Rule of differentiation:…

Q: Find the derivative of the following. 1. g(x) = cos-1(e5x² +9x) 2. h(r) = 10tan-(5r*+10r²+3r)

A:

Q: Find the derivatives of the functions defined as y = cos (4e2x)

A: Given information: The function is y=cos4e2x. Concept used: Chain rule of…

Q: Solve for the derivatives of the following functions with complete solutions. Use a separate sheet…

A: Given that

Q: . Find the derivative of the following functions and simplify the answer: ly = 4x² cos x- 10x sin x…

A:

Q: -1 y = cos –6•x³ - 6·x³

A: Given function is: y=cos-1-6x3 Then we get, cos y=-6x3

Q: Q1:- Find the first order derivative of each of Inx a) y = e*secx + CsCx

A:

Q: Find the derivatives of the function defined as follows.

A:

Q: Solve for the derivatives of the following functions with complete solutions. Use a separate sheet…

A:

Q: Find the derivative of y = cos³*+8 (x). Provide your answer below: y =

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

Q: FIND THE SECOND DERIVATIVE (y") OF THE FOLLOWING IN ITS SIMPLIFIED FORM (COMPLETE SOLUTION): 2 X = 2…

A: First, evaluate the first derivative dydx (y'). To find y', determine the dxdt and dydt.…

Q: Find derivatives of the functions defined as follows: y = -16e2x+1

A: Derivative of eax  is aeax  So,

Q: Find the derivatives of the following functions: a) y2 sin x – tan (x + y) + 3x = 0

A:

Q: Calculate the derivative of the following function. y=e*(4x- 9)5 dy dx

A:

Q: Find the derivatives of the functions

A:

Q: Find the derivatives of the functions y = θ3e-2θ cos 5θ

A:

Q: 11. Find the derivative of the following function. y=2-6e a y'=54r°e b. y' = -54x°e- c. y' = 6e d.…

A: Given function is

Q: Find the derivatives of the following. 1. y= sin (e**+ 2x +5)

A:

Q: Calculate the derivatives of the following functions.(a) y= 4x2 + 4(b) y = sin 3x+ 4 cos 2x(c) y =3x…

A: We have to find derivative of the given function. (a). dydx=d4x2+4dx=8x   b.…

Q: x + y + xy = 21

A: The function is given as , x+y+xy=21 find the second derivative.

Q: Find the derivatives of the functions y = 3/(5x2 + sin 2x)3/2

A:

Q: Find the derivative of y Cos3 3x+8 (x). %3D Provide your answer below: y = D

A:

Q: B. y = tan (x²+ 5x-2) %3D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: - 7x Find the derivative of the function y =e sin 3x.

A:

Q: Solve for the derivatives of the following functions with complete solutions. a. y = In (5x²) b. y =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2 2 X = 1+t2 y=r(1+t?)

A: To find second derivative of given function.

Q: Find derivatives of the functions defined as follows: . y = 1.2e5x

A: the given function is: y=1.2e5x we have to find the derivative of the given function.

Q: 2x Sin 1+x?

A: Evaluate the derivative of the given function as follows.…

Q: find the following third derivative of y=(3x+2)2

A:

Q: dy dz a ) e-π7z In(y) = x²z

A: Detailed solution is given below.

Q: f(x) = e²x cos(x) e2

A:

Q: Calculate the derivative of the following function. y = sin (11t - 1)

A:

Q: Find the derivative of y with respect to the independent variable. 20) y = 7cos TO A) -17COS TO In 7…

A: