If f(x) = 3 tan-'(3 sin(3x)), f'(æ) =

Q: Find the first derivative of y=x arcsin x + √1-x²

A: y=x arcsinx+1-x2

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

A:

Q: Find the first derivative of g(x) = - 9e* tan(x). : (x),6

A:

Q: Integrate: S tan (æ) sec³(x)dx

A:

Q: sin

A:

Q: compute the derivative y = sin(2x) cos2 x

A: Given y=sin(2x)cos2x The product rule of derivative is given by:

Q: Find the derivatives of the function f(x) from the first principle  sin2x

A: Answer and explanation is given below...

Q: What is the first derivative of g(x) = In 4x²+4x+8 ? x 3 tan x

A: we use Logarithmic properties

Q: Find. the derivative of tan(x)). with respect to X 1- y3=

A: Explanation of the answer is as follows

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

A:

Q: Find the 46th derivative of y = cos (x) sin (a) cos (2) cos (x) - - sin (x)

A: Given y=cosx

Q: 11 In(x)sin (x²). Find the first derivative of g(x) (x),6

A: As we know that: The product rule: f·g'=f'·g+f·g' The chain rule: fgx'=f'gx·g'x The Power law:…

Q: Find the derivative of cos-¹(sin x)

A:

Q: sin x (cos x+1) dx 7. S (cosx +1)2

A: Given that: ∫sinx(cosx+1)(cosx+1)2dx           NOTE: As per our answering guidelines, we can only…

Q: 4. Find the derivative of g(x) = e5" sin(-x). Do not simplify.

A:

Q: Find the derivative of the function.

A: The given function is y=ln5sinx

Q: compute the derivative. y = sin(2x) cos2 x

A: We can find the derivative of this function by using the product rule of differentiation . According…

Q: if the derivative of x2sinx+2xcosx-sinx  is (Ax2+B)(cos(C(x/2))). FInd the value of A, B, and C.

A: Given: x2sinx+2xcosx-sinx Differentiate the equation.…

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: Choose the derivative of sin (x). - 1 1 1+ x2 1 x2 | 1 1+ x2 1 xVx2 1 - 1 V1- x?

A: It can easily find the derivative of function

Q: compute the derivative g(x) = tan−1(ln x)

A:

Q: Differentiate the function y=ln(x5 sin2 x)

A:

Q: Find first and 2nd derivative guncic 2 tan2x 3.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Compute sin x dx er + 3e -x 8.

A: We have to compute the given expression ∫sinxex+3e-xdx from -∞ to ∞ Therefore, The  given expression…

Q: g(x) = cos ¹x+ 1-x

A:

Q: Determine the first derivative of the ff. function y = 400(2)*+3 sin 3x

A: Given: y=4002x+3 sin 3x To Find: First derivative of the given function

Q: 3- - 플 플 sin²cyl y จน

A:

Q: sinx In (2) co cos x

A:

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

A:

Q: cos X sin x + cosX

A:

Q: find the first derivative of the function. F(x)= (1+sin2x/1-sin2x)^3

A:

Q: Find derivative of the f(x) = sin-1*- 1 x+1 function

A: To find the derivative of the function

Q: Find the derivative. y = In(x²)tan (3x) %3D

A: Given:

Q: Find the derivative of ƒ (x) = cos-1(In(4x²+1)).

A:

Q: Solve for the derivative of the Inverse Hyperbolic Differentiation. 1. y = sin h-1 (2x2 - 1) 2. y…

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Q: 3. Find if y³ + 2xy - x² = cos x using implicit differentiation.

A:

Q: Find the derivative of: ln(sin-1x)

A: We need to find the derivative of ln(sin-1x).

Q: Find the derivative of: sin sin(2x) sin sin(x) + cos (2x) cos(x) ans: -sinx solution?

A: We will use the formula cosA*cosB+sinA*sinB= cos(A-B) , with A=2x and B=x and simplify.

Q: 5. Find the derivative of --( 1 + sin 0 cos 0

A:

Q: How would you find the derivative of sin (z^6) + sin^6 (z) using the chain rule?

A:

Q: Find the derivative of each function 2 sin x 5x3 1. h(x) = In x -3e* h(x) = 2 cos x g(x) : 1+7x

A:

Q: Find the derivative  f(x) = cos-1(3x) sin-1(3x)

A: To differentiate the function with respect to x.

Q: How would you find the 65th derivative of sin(x)? Is there a pattern that occurs that allows you to…

A: Let y = sinx.Compute the first derivative of y as follows.

Q: Compute the derivative d tan x dx \cos x – 4)

A: To compute :

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

A:

Q: Compute the derivative d tan x dx \cos x – 4

A: Given: Formula Used:

Q: How are the derivatives of sin-1 x and cos-1 x related?

A: Given functions are sin-1x and cos-1x

Q: What is the derivative of : ln cos 3x

A: