3. (a) What is the derivative of sin(g(z))7 (b) What is the derivative of sin(2r + T)?

Q: Find derivative of the following functions 1. y= sin^-1 2x^2 2. y= tan^-1 2x^2/5

A: Given 1. y=sin-1(2x2)2. y=tan-1(2x25)

Q: 7. Find the derivatives of y = cos- (sin(2x)) (show work)

A: Using derivatives of composite function. Or Using trigonometric transformation.

Q: 2. Find the derivative. Simplify where possible. (b) у %3 tanh-1(г3)

A:

Q: 10. Find the derivative of y = cos /sin(tan 7x)

A: We will find the derivative using Chain rule

Q: 2) Find the derivative of f(x) = tan(1+ cos 3 x) %3D

A: As the function involved function in a function we can apply chain rule and find the derivative of…

Q: 2. Find the derivatives of Y with respect to x if; x=arc sin ex.

A:

Q: Find the derivative of the function y = cot^-1 x^2– cos^-1 (x + 1/x – 2). %3D

A:

Q: Find the derivative of y with respect to x. 2x + 3 26) y = sec = sec-1 27) y = -sin-1 (5x2 + 2) 28)…

A:

Q: Can you help me with this problem step by step?

A: The equation is given by

Q: 1 Find the derivative of g(x)= (x)sec(x) + a+ x* + cos - sin(x)

A:

Q: 1. Find the derivative of the curve given by the equation: 2(x - y) = 3+ siny

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

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

A:

Q: a) Find the derivative of the function using limits: f (x) = 2x+1 b) Find an equation of the tangent…

A:

Q: Find the derivative of the function.

A: Given: y=lncosxcosx-1

Q: The third derivative of y = sin is 1 -sin b) y" = --cos 1 а) у 8. 2 2 c) y" =-8sin d) y" = -8 cos

A:

Q: Find a formula for y" (the second derivative) if y = 2* · sin x.

A: Given that, y=2xsinx            ...(1)

Q: 2 cos x 4. Consider the function f(x) = x2 find its derivative

A: Given function: fx=2cos xx2Differentiate the above function w.r.t 'x' f'x=ddx2cos xx2

Q: Find the derivatives of the functions y = 1/sin2 x - 2/sin x

A:

Q: 1-cos 4x Find the derivative of y sin 4x

A:

Q: 4. Find the derivative of the following function. 1+ sinx g(x) = - V1+ cos x

A: Given: gx=1+sinx1+cosx for finding derivative of given function, first we simplify given expression…

Q: sin 0.5 va Find the first-order derivative of y = at x = 2 and h = 0.2 a.) Forward difference b.)…

A: Three approximations to the derivative of function f(x) at x=k are 1.  the one-sided (forward)…

Q: Find the derivative of the function.

A:

Q: Find the derivative of y with respect to the appropriate variable → 49. y = cos '(x²) sin-'V2! 50. y…

A: Solve the following marked questions

Q: Sin X I+ COS f' (x) =>

A:

Q: 2. Find the derivative of y = tan°(/1 – x²). Make any obvious simplifications. %3D

A: Using chain rule of differentiation.

Q: a) Find the derivative of y = 2 sin-1 x. b) What is the value of the derivative at x = 0.

A: given

Q: -cos^3(x^3)=-3y^2 Find the derivative

A:

Q: 3. Give the definition of a derivative of a function f of one variable at a point xo. /2 Find the…

A:

Q: Find the derivative of the function. Simplify where possible. y   = Cos-1(Sin-1t)

A: y=cos-1sin-1t

Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: What is the second derivative of y = 2x -+ sin x with respect to x? a. 2 -+ cos x b. 2 ++ cos x -+…

A:

Q: 17) Find the derivative of y = x? COs x - 2

A:

Q: sin x.cos x- 8- Find y' for y = In x 9- Use the definition of differentiation to find the first…

A: Given  y=sin x cos x2ln x and f(x)=3x2 We need to differentiate these functions wrt x. This can be…

Q: 1) Find the derivative of f(x) 1+sin 2 x %3D 2 cos x

A: we are given the function is  f(x)=1+sin2x2cos3x

Q: How did he get the second derivative step by step and a clear line please 3 F(x) = 1+e siny x Fex)…

A: Let fx=1+e-xsin 4x

Q: 4.Find derivative y=(-2r+2)" cos(r? -1)

A: A function f(x) is said to be differentiable at x=a where a∈m, n, if: limh→0fa+h-fah A function f is…

Q: How do I find the 20th derivative of f(x)=(2cos x)(cos 3x)? I think there must be some trick because…

A: Given:

Q: Find the derivative of y with respect to x. y = 3 sin -1 (5x 3)

A: Given data:     The given expression is: y=3sin-1(5x3).   Assume 5x3=u and differentiate it with…

Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 dy dx b) EVALUATE THE DERIVATIVE FROM PART a AT THE…

A: Given: x4y3=-8

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

A:

Q: 5. Find the derivative of h(x) = cos(sin(cosx)).

A:

Q: 3. Find the derivative of (a) f(x) = (x + 2 sin x) (1 – 6 cos x), and (b) g(x) = sin x/ 7x

A:

Q: Use forward-difference formula to evaluate the first derivative of y = sin(x) at x = using a value…

A: Given function is y=sinx. We have to evaluate the first derivative of y=sinx at x=π2 using a value…

Q: 1+sin 2 x Find the derivative of f(x) 2 cos3 x

A:

Q: Find the derivative of the function. y = 2 tan-(sin x) y' =

A: Using derivat formulas.

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

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