(3) csc¯'x = sin X 1/

Q: Find the first derivative of 2cos(2 + x³). a. -6x² sin(2 + x³) b. -x² (sin 2 + x³) c. -6x² (cos…

A: daf(x)dx=adf(x)dx ; where , 'a' is constant. dcos (ax)dx =-a.sin(ax) dxndx=n.xn-1 .

Q: (5x) S sin(x) tan(x) .........

A:

Q: Integrate sin^2(7x)-cos(x)

A:

Q: (b) Prove that : - 1) (coshx)2 – (sinhx)2 = 1 ,2) coshx- sinhx = e-*, 3) (cothx)? -1= (cschx)?

A: Given that  The following

Q: What is the derivative of the equation  ln(sec(7x) + tan(7x))?

A: The given function is ln (sec(7x) + tan(7x)). Let f (x) = ln(u) with u = sec(7x) + tan(7x).

Q: find the derivative of   ( -10 sin(x) ) / ( 5x ** 2 - 10 sin(x) )

A:

Q: Find the first derivative of  y = (x – 1) √ (2x – x2)   + arcsin (x – 1), and y = arctan [ (3 sin x)…

A:

Q: 2 Find the derivative of: – 8 sin (3x°).

A: The chain rule of derivative states that ddx(f(g(x)))=f'(g(x))g'(x). The power rule of derivative…

Q: Va2 -x2 y=Arcsin + 6. X

A:

Q: 1) [(sinh 2x + cosh2x)° dx

A:

Q: The derivative of sec2 2x(cos2x−sin2x) with respect to x is

A: Given: f(x)=sec2 2x(cos2x−sin2x)   Simplify the function before finding the derivative: By  the…

Q: What is the 888th derivative of y = sin 4x ?

A: Solve the following

Q: Integrate |sin2x cos 3xdx

A:

Q: Calculate the derivative of: cos-(8x) sin-(8x) f(x) f'(x) = 8|

A:

Q: Find the derivative of 5x^2sin(x)tan(x)

A: Given expression 5x2Sin(x)tan(x). We need to find the derivative of it with respect to x.We use the…

Q: 을 [ ] d dx tan-1(x)| 1+x?

A: To find derivative of arc(tanx) , we have to use some trigonometric identities and basic inverse…

Q: The derivative of sec22x(cos2x−sin2x) with respect to x is?

A: I have appended the formula used in the solution part of the question

Q: Evaluate: S Arctan 2 sin²x dx . Arctan 1 cos+x

A: Given,  ∫Arctan1Arctan2sin2xcos4xdx

Q: The derivatives of sin- 1 x and cos- 1 x are negatives of each other.

A: From the question it's not clear, what do you want us to do with it. I assume that you want to know…

Q: Is it true that the derivative of y=arcsin(cos2x) is -2?

A: The function is y=arcsincos2x.   Differentiate the function with respect to x.…

Q: Compute the derivative sin2(x)

A:

Q: State the derivatives of sin-1 x, tan-1 x, and sec-1 x.

A: To Determine: State the derivatives of sin-1 x, tan-1 x, and sec-1 x. Given: we have sin-1 x, tan-1…

Q: Prove Formula 6 for the derivative of Cos-1 by the samemethod as for Formula 3.

A: let y=cos-1x   then cosy=x Differentiate the equation cosy=x with respect to x.…

Q: What is the derivative of sin(2x) at the point (0,0)? O 2 O -2 O 4

A:

Q: sin(32 + 2')| y = (6 – 2^)3

A: As we know that: The Power rule:ddxxn=nxn-1The chain rule:fgx'=f'gx·g'xThe Quotient…

Q: compute the higher derivative

A: Find first derivative using chain rule

Q: Verify the identity. sinh2 x = (−1 + cosh 2x) /2

A:

Q: Verify the identity cosh 2x = cosh2 x + sinh2 x

A: we have to verify the identity: cosh(2x)=cosh2x+sinh2x   L.H.S: cosh2x as we know that coshx=ex+e-x2…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: The derivative is f'x=-sinx2   Integrate the function with respect to x.…

Q: 3- - 플 플 sin²cyl y จน

A:

Q: Given: f(x) = 1– sin² 4x . find the 5th derivative

A:

Q: 9. tan 4x sec24xdx d. cos 5xsin 5xdx e. x sin(3x² +1)dx f. [x* cos(2x' +1)dx

A:

Q: of sin (4) sin³2 x sin 2x dx

A:

Q: Find* esin ¤ dx tan x csc x cos x e $in xt. - cos x e Sin x + c Option 4 Option 2 esinx + c ,sin.…

A:

Q: 2 cot x-3 sin²x sin x

A: NOTE: Refresh your page if you can't see any equations. .

Q: Use differentials to estimate sin (π/6 + 0.01).

A: Use differentials to approximate the value of sinπ6+0.01 The nearest number to sinπ6+0.01 whose sine…

Q: Find the possible values of cosh x that satisfies sinh²x – 3 cosh x + 3 = 0

A: We use the following identity to solve question 1). cosh2x - sinh2x = 1

Q: What is the derivative of ln(sec(7x) + tan(7x))?

A: Let y = ln(sec(7x) + tan(7x)).Calculation:Obtain the derivatite of y as follows.

Q: Evaluate sin (4x) cos -2(4x) dx. | sin (4x) cos -2(4x) dx = O

A:

Q: Va2-x² Y=Arc sin- + а

A: Solution-

Q: 10. (4x+5)sin 3x

A: We will find the solution to the given problem.  We will differentiate the problem with respect to…

Q: What is the derivative of 2x/sin(2x)?

A:

Q: Find the first derivative y= tan2(sin x)

A:

Q: sin 프)" 2. 4.

A:

Q: Explain how to find ∫ tan15 x dx without actually integrating.

A: ∫tan15x dx=∫tan13x tan2x dx=∫tan13x sec2x-1 dx   ∵sec2x-tan2x=1=∫tan13x sec2x-tan13x dx=∫tan13x…

Q: What is the 28th derivative of sin x?

A:

Q: Solve for the derivative of the Trigonometric Differentiation. 1. y = sin (5x) + 3x cos (5x) 2. y…

A: given y=sin5x+3cos5xdiffrentiate w.r.t. xdydx=ddxsin5x+3cos5xdydx=ddx(sin5x)+ddx(3cos5x)we know that…

Q: Find the derivative of a. (e(sin2x))/[In(cos2x)]2

A: We have to find out derivative

Q: 4. If y = x cos x determine the 5th derivative. [y6) = (60x – x³) sin x+ (15x? – 60) cos x] |

A:

Q: Find the domain of the second derivative of the equation (image)

A: Given: