d cos 2x – x³ dx 3+ tanh x

Q: Compute the following derivative: 1 -3/x dx sin(x)

A:

Q: 6. Use implicit differentiation to find the following derivatives for the equation tan y = 4 +x?y +…

A: see below the calculation and answer

Q: Calculate the derivative of the following function. y = 11+ tan²x dy %3D dx

A:

Q: Find the derivative. x10 12) y = cos /t dt

A: We differentiate both sides with respect to x

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

A: Differentiate w.r.t to x

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: Find the derivative: s(t) = cos()

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: Calculate the derivative of the following functions.

A: Given : The function is y =sin5( cos 3x) .

Q: Determine the following derivative with respect to x: Y = cos(sin(cos x))

A:

Q: Calculate the derivative of the following function. y= cos (sin (9x))- dy dx

A: We know d(xn)/dx = n.xn-1 d(cos x)/dx = -sin x d(sin x)/dx = cos x d(kx)/dx = k

Q: Find the derivative of the following fuction.  f(x)=[(1+sinx)/(1+cosx)]1/2.

A:

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

A: Taking derivative on both sides,

Q: Find the derivative of the following function. sin x+ cosX y% = et dy dx %3D

A: *to find:- dy/dx.

Q: Find the derivative of the following function. y = 4 sec x+3 csc x dy dx ||

A:

Q: compute the derivative. g(t) = sinh(t2)

A: g(t)=sinh(t2)

Q: Find the derivative of the following function. y = 9 cos x+3 e x

A: The function is y=9cos x+3ex. Find the derivative of the function using sum rule and constant…

Q: Find the derivative of the following functions: y = In(sec x?) + tan-1(cosx) +4 tan x?

A:

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: f(x) = @tann + In (sec x) - ex at x = T

A: We know that general formula of derivatives is -  d(lnx)/dx = 1/x ; d(tanx)/dx= sec2x d(secx)/dx =…

Q: Calculate the derivative of the following functions y = sin (4 cos z)

A: Consider the provided function, y=sin4cosz Find the derivative of the function.

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

A: Consider the given function y=cos xcos 4x   Apply the chain rule: ddxy=ddxcos xcos 4xy'=12cos xcos…

Q: Find the derivative y = e* (sin x + cos x).

A:

Q: Calculate the derivative of the following functions. y = cos4 u + sin4 u

A: We have to find the derivative of the function: y=cos4 u+sin4 u We know formula for derivative:…

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

A:

Q: Find the derivative. cos ft dt y = x10

A:

Q: Prove that d/dx(cos x) = −sin⁡ x using the definition of the derivative.

A: Given: fx=cosx   As we know from the definition of the derivative; The expression for the derivative…

Q: (c) y = e* sin 7x + In(cos(x)) (d) y= xarcsin x+ V1-x²

A:

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

A:

Q: Find the derivative of the following functions. 2. y=e* sec sec x 1. xy=(x-y)+1

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Calculate the derivative of the following functions. y = (cos x + 2 sin x)8

A: Given function is y=cosx+2sinx8.

Q: Find the derivative of the following functions: 2) y = sec(x*) + tan(xº ) + Vx2

A:

Q: Calculate the derivative of the following function. y = (secx + tan x)-3 dy dx

A:

Q: Find the derivative. ( cos ft dt x10 COS^/

A:

Q: Calculate the derivative of the following function. = (x + 8) (x² - 1))° dy dx

A: By using the following equations we can find the derivative of the given function.

Q: Determine the derivative of the following functions. 1. y = 9x cos(2x + 3) 2. y = cos(x + y)

A: According to the question, we need to calculate the derivative of the given function.    Function 1:…

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: Find the derivative of the following: 1. y = 14 tan x cos x + 10 csc x 2. g(x) = sin?x + cos²x + sec…

A:

Q: 7. y = cos(sin(In(æ))

A:

Q: Find the derivative of the function. F(t) = 5t sin(mt)

A: To find the derivative of the given function f(t) we use product rule for derivative, Since f(t) is…

Q: A) Find the derivative for the following functions: 1) y = log(x sinx) 2) y = tan(x') 3) y = (x sinx…

A: (A) (1) Differentiate y w.r.t x using the quotient rule for differentiation.…

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: Find the derivative of the following. y = 1/2 tan x sin (2x) + cos (2x)

A: Given function is y=12tanx sin2x+cos2x. Solution: Product rule of differentiation states that:…

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

A:

Q: compute the derivative g(t) = sinh(t2)

A:

Q: A) Find the derivative for the following functions: 1) y = log(x sinx) 2) y = tan(x') 3) y = (xstnx…

A:

Q: Find the derivative of the following function. y = 5x sin -1x dy dx

A: We can find dy/dx using product formula as below

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

A:

Q: Find the derivative of the following function. g(x)= 1+cos x / x + sin x

A:

Q: Calculate the derivative of the following functions

A: We have to find the derivative of the function y=p+32sinp2.