y = e*+l sin x3

Q: Find the derivative of the following function with respect to x. /5x + 8 1 – 9 cos (4.x) - h (x) =…

A: The given function is:hx=5x+8 1-9cos4x3x2+10x4 This function can be written as: hx=5x+812…

Q: Find the first derivative of y with respect to x (y') of the given function using rules for…

A:

Q: Use the rules of differentiation to find the derivative of the function. y = sin(0) -11 2.2.025.

A:

Q: Calculate the derivative of the following functions.

A: Given function is y=cos47x3. To find the derivative of the given function. Solution: Power rule of…

Q: Use the rules for derivatives to find the derivative of function defined as follows. ƒ(x) = e2x…

A: We have to find the derivative of the function: fx=e2xlnxex+1 We know the rule and formula of…

Q: Use the Chain Rule combined with other differentiation rules to find the derivative of the following…

A: y=x4+cos(2x) Find derivative of given function with respect to x . Here use chain rule and then find…

Q: H(x) = 2x3- 3x + 4 Зх + 4 %3D

A: Hx=2x3-3x+4

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

A: Given ,          y=cos 5t

Q: Use the General Power Rule where appropriate to find the derivative of the following functions.

A: y=tan (x0.74)

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

A:

Q: Use the Chain Rule combined with other differentiation rules to find the derivative of the following…

A: Use the Chain Rule combined with other differentiation rules to find the derivative of the following…

Q: Find the derivative of y with respect to x in the following equation.

A: Using chain rule of differentiation

Q: 1. sin(x + y) = xy² – 2x3

A: Given- sinx+y=xy2-2x3 To find- The derivative of the above expression using the implict…

Q: Calculate the derivative with respect to x of the other variables 22) sin(xt)=t

A:

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

A: Taking derivative on both sides,

Q: y = 4sec x-6 tan x 2e*; P(0,2) -

A: y=4secx-6tanx-2ex

Q: Find the second derivative for the functions defined as follows .p(x) = sin(x2)

A: We have to find second derivative of the function: px=sinx2 We know the formula of differentiation,…

Q: Find the derivative of each function at the specified value of x. (a) f(x) = sin(Te*), when x = 0

A: f(x)=sin(πex), x=0Formuladdxsin x=cos xddxex=ex

Q: Find the derivative of the following function with respect to x x = sinh2y

A:

Q: Determine the derivative of the following functions with respect to the independent variables: .1 y…

A:

Q: 1. x + y + xy = 21

A: We will use simple differentiation rules to solve this question.

Q: Calculate the derivative of the following functions. y = sin5(cos 3x)

A: we have to calculate the derivative of the function y=sin5cos3x.

Q: Use the Chain Rule combined with other differentiation rules to find the derivative of the following…

A: Using the quotient rule.The formula is-ddt[f(t)g(t)]=g(t)ddtf(t)-f(t)ddtg(t)[g(t)]2…

Q: Use the Chain Rule combined with other differentiation rules to find the derivative of the following…

A:

Q: Find the derivative of the following function. y = 7x sin -1x dx 히종

A: The given function is,

Q: Use the Chain Rule combined with other differentiation rules to find the derivative of the following…

A: Given: y=xx+15 To Find: The derivative of the given function

Q: f(x) = 2 cos I - 3:

A: Of a function y = f(x) of a variable x is a measure of the rate at which the value y of the function…

Q: Use the Chain rule with other differentiation rules to find the derivative of the following…

A:

Q: Find the derivative of the following. y = x2 sin x + 2x cos x - sin x

A: We need to find the derivative of the following, y=x2sinx+2xcosx-sinx

Q: Calculate the derivative of the following function. y=cos(9sinx)

A: y= cos x  y' =- sin x  y= sin x  y' = cos x

Q: x² sin(x) 8. k(x) = cos( x

A: The given function is kx=x2sinxcosx

Q: Find the second-order derivative of the following function: f(x) = log2 cos x + ln π

A: We have to solve

Q: find the derivative. y = cos−1(x2)

A:

Q: The 2nd derivative of the function x = Ci cosot + C2 sin ot with respect to t is

A: Given function is

Q: 10. G(x) 3ex -7 log, x - 2x %3D

A:

Q: 5Vx-2 cos x-e 13. P(x) %3D 3x-4 In x

A: Given- Px=5x3-2cosx-ex3x-4lnx To find- The derivative of the above function. Identity Used-…

Q: ..] Find the derivative of the following functions: a) (e* sin 5x) b) y = csc x +e** csc x+e*

A: Apply the product rule, (f.g)'=f'.g+f.g' Add/sum rule, ddx(f±g)=f'±g' Derivative of sine function,…

Q: Use the rules of differentiation to find the derivative of the function.                        y =…

A: Given:  y=x2-12 cos x…

Q: Give the derivative formula for the function. (x)2 In x -e j'(x)

A: Consider the given function.

Q: Find the Derivative Function for the following function, y=cos(x)-3x

A:

Q: d. x cosy + y sin x –1 = 0 3 х е. = 2 x y

A:

Q: Find the derivatives of the following functions with respect to x  x=tan (e-y)

A:

Q: 5. k(x) = (-2x2- 2x+ 1)Vx %3D

A:

Q: f(x) = (x + 6 sin x) (1 – 5 cos x -

A: To find the derivative of:f(x)=x+6sinx1-5cosx

Q: second

A: y'=ddxlog x-1x+1=1(x-1)1/2(x+1)1/2 ddx x-1x+1 =1(x-1)1/2(x+1)1/2121(x-1)1/2(x+1)1/2 ddxx-1x+1…

Q: Find the derivative of the fx and evaluate the derivative at the given value of a. f(x)=(sin…

A: Given that, f(x) = (sinx) ln(10x) a = π2 We have to find the derivative of f(x) at point a.

Q: 1. y = sin x2

A: the given function is: y=sinx2 we have to determine the derivative of the given function.

Q: Calculate the derivative of the following function. y= cos (8 sin x)

A:

Q: Use the rules of differentiation to find the derivative of the function                     g( ) = 4…

A: g(x) = 4cosx +6 dg(x)dx = d(4cosx+6)dx             = d(4cosx)dx + d6dx…