Find the derivative of the following functions: x2 +4 (a). f(æ) = x2 %3D 4 (b). f(x) = 2 tan '(x) – 6" | (6), flæ) = (x + 4 sin x 6 cos x -

Q: I FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 1. y Arctan- 3-V9-x2 2. y= 4 Arccos +…

A: 1.   From the given problem:   y=Arctanx3-9-x2   As we know:   d2ydx2=ddxdydx   So,…

Q: Find the derivative of the function.…

A: The given function is hx=x2arctan8x

Q: find the derivative of y with respect to the appropriatevariable. y = sin-1 3/t2

A: We differentiate with respect to t using chain rule.

Q: Find the derivative of y = cos"+8 (x).

A:

Q: Find the derivative of the function. y = tan an-¹ (√x-4)

A: We can find the derivative using chain rule as below.

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

A: We can find the derivative as below

Q: Find the derivative of 2 cos x 1. f(x) x+1

A: As we know that: The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2 Given: fx=2cosxx+1

Q: 3. Find the derivative of the function. y = In(t2) – arctan(-

A:

Q: Find the derivative of y with respect to x 3tan-1x + sin-1x = 4

A:

Q: Find the derivative of y with respect to x of y = xlnx – x.

A: Using rules of differentiation.

Q: X+3

A:

Q: Find the derivative of y with respect to x. y = sec -1 (3x2 + 1), X>0

A:

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

A: (4) Consider the given function. fx=2cosxx2 The quotient rule is defined as. fxgx'=f'g-g'fg2

Q: A// Find the derivative of y with respect to x 5) 3tan-1x + sin-1x = 4 6) y = ln- 1+ ex = la,

A:

Q: Find the indicated derivative of the function. for y = -4 cos X dx4

A:

Q: Find the derivative of y=. =x²- 1 2 COS X

A: Given,  y=x2-12cos x

Q: Find the derivative with respect to t. y= csc-1(et)

A: Given:

Q: Find the derivative of the function. sin(x) y = In(1 + 6v) dv cos(x)

A: Find the derivative of the following function

Q: Find the derivative of the function.

A: Given: y=lncosxcosx-1

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

A: Given:

Q: find the derivative of y with respect to the appropriatevariable. y = cos-1 (x2)

A: Given function is y=cos-1x2. Chain rule of differentiation states that: ddxfgx=f'gx·g'x…

Q: find the derivative of y with respect to the appropriatevariable. y = cos-1 (1/x)

A: To find dydx, rewrite the equation and then differentiate with respect to x.…

Q: Find the derivative of the function y = 2x arccos x − 2√(1 − x2 )

A: If the two functions f(x) and g(x) are differentiable (the derivative exist) then the product is…

Q: Find the derivative of the function. y = (( 1- cos 2x ) /( 1+ cos 2x ))4

A:

Q: Find the derivative of the function .

A: Given a function f(x)=2x3+3 cos x f(x)=2(x)1/3+3 cos x      =2x-1/3+3 cos x We, use the following…

Q: Can you help me step by step?

A: We need to find the derivative of the given equation.

Q: Find the derivative of the function. h(x) = x² arctan(8x) %3D

A: To find the derivative of hx=x2tan-18x

Q: find the derivative of the function.

A: h(x)=xcosx

Q: 1+ cos x y = In 1-cos x

A: This question is based on chain rule differentiation.

Q: find the first order derivative of the function

A: We have to solve

Q: Find the derivative of y = cos 12 with respect to x. |

A: Given : y = cos-112x

Q: Find the derivative of y with respect to x. -1 y = tan (In(2x))

A:

Q: Find the derivative of the function sin(x) In(6+4v) dv cos(x) y y'(x)=

A: The given function is,

Q: Find derivative of y=cos(7x).

A: The given function is

Q: Find the derivative of y = x 1 cOS x 2

A:

Q: Find the derivative of the function y, below. 9x(ln x + In 2) – 8x + v2 %3D

A: first, simplify the function  y=9xlnx+ln2-8x+2 y=9xlnx·2-8x+2 y=9xln2x-8x+2

Q: Find the derivative of h(x) = (1+ cos x)*

A:

Q: Find the 10th derivative of y = cos 3x. f(10)(x) =

A: Given, y=cos3x

Q: Find the derivative of the function. y = x sin 1(2x + 1)

A:

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: Find the derivative of the function. h(x) = ∣x∣ cos x

A:

Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = ln (cos2 θ)

A:

Q: Find the first derivative of y = cos*x- sin*x.

A:

Q: find the derivative of f(x)=(x^4+3x^2+8)cos

A:

Q: Compute the derivative for y= (e^-4x sin^2(x)) / (x^2 + 3x + 1)

A:

Q: c. Find the derivative of y =+- et x3 cOS X 2

A:

Q: Find the derivative of y with respect to x.   y= tan-1 *square root (16x2-1) +csc-1*4x ,   x greater…

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = (cos θ) ln (2θ + 2)

A:

Q: Obtain the derivative of the function y cos (9y ) + tan (4x) csc (2x) y =

A: