If f(x) = 7 tan'(7 sin(4x)), - f'(x) =

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

A: y=x arcsinx+1-x2

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: 10. Find the first derivative: f(x) = (x³ + 2x) In x

A: Given Data: Function: fx=x3+2xlnx The product rule of derivative is, ddxfx·gx=fxddxgx+gxddxfx Use…

Q: Find the derivative of the function. y = x°cos x - 10x sin x - 10 cos x

A:

Q: find f'(x) if f(x) = tanh(ln x) +sin2(2x)

A:

Q: Find the derivative of y=ln^3(tan^-1x)

A:

Q: Find the derivative of f(x)=sin sin(5x

A:

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

A:

Q: 6. Find dy/dx by implicit differentiation for tan-'(²y) = sin(x²) + 3ry?.

A:

Q: sin

A:

Q: 3- Find the derivative of sinx +x /2+cos x.

A: The given function is fx=sinx+x2+cosx. The formula for differentiation for the sum of functions is…

Q: What is the derivative of y = sin (x³ sin (x³ – 3x)?

A:

Q: Find the first derivative for y = 5 cos x

A: Given,          y=5cosx

Q: Find the derivative of f(x) = 2(x² + 3x) cos(sin(x³)).

A: I have used product re and derived of composition of two function

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

A:

Q: I need to find the derivative of the function f(x) = cos-1(ln(sin(3x+1))) but I am unsure how to…

A:

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: 2. Find the derivative of g(x) = 2x sin x.

A:

Q: d Verify tanh - = X 1- x2 dx

A: Inverse hyperbolic tangent function can be expressed in logarithm funtion. Write tanh-1x=12ln1+x1-x…

Q: Find the first derivative of y = Arc tan √x² −1+ Arc csc x 2 O 2 O 0 2 Ox√²+1

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

Q: Find the 139th derivative of y=cos x а. Cos x b. Sin x С. -Cos x d. -Sin x

A:

Q: What is the derivative of ln(sin x + cos x)

A: Consider the given function:

Q: sinx 3. f(x)=(x)*

A:

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: Find the derivative of  y=ln [tan-1(7x5)] with respect to x.

A:

Q: Find the second derivative of f(x) = sin(3x) - cos(2x)

A: We have to find second derivative of  f(x) = sin(3x) - cos(2x)  Then   First derivative of f(x) is…

Q: g(x) = cos ¹x+ 1-x

A:

Q: Find the first And 2nd derivative  F(x)= e^x sin4x

A:

Q: 22 Find the 43rd derivative of (1 + x²)“ at x = 0. 0.

A:

Q: 3- - 플 플 sin²cyl y จน

A:

Q: sinx In (2) co cos x

A:

Q: Find cosh æ In(sinh x)dx.

A:

Q: Find the function ƒ(x) whose derivative is sin x and whose graph passes through the point (0, 2).

A:

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

A:

Q: y=ln(sin(X3-1))

A: Detailed explanation is attached below.

Q: Find the first derivatives of y = cos x tanx

A: Given: y=4cos x+1tan x

Q: 4. S tan x dx CSC X sec (In x) dx 5. dx 6. S; 1- cos 2x

A:

Q: Find the derivative of  f (x) = ln( ln (ln 3x))

A: To find the derivative of f(x) = ln( ln (ln 3x)), differentiate f(x) with respect to x.

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

A:

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: What is the derivative of: 4 ln(sec y + tan y) − 2x − sin 2x = 1

A: Given: 4 lnsec y+tan y-2x-sin 2x=1 To Find: dydx=?

Q: Find the first derivative of:   f(x) = ln [(5x+2)1/2 / csc(x)]

A:

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: Example 2.35: Using Implicit Differentiation to Find a Second Derivative d'y dx Find if x +y² = 25.

A: Explanation of the answer is as follows

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

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