Let h(x) = tan(2x + 2). Then h'(2) is and h''(2) is

Q: Find the derivative of the function f(x) = = sin(x) - 1 cos(2x) + 1 4

A:

Q: [In(x²)-ex cos(x-1).tan(Tx) 20. lim 2x2-x sin2(1-x) X-1

A:

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

A:

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

A:

Q: Find the Equation of tangent line of the function f(x) = 1 + csc(x) – /cos(x) 2n 4+V3 23 At the…

A: Consider the provided function, fx=1+cscx-cosx and the given point 2π3,4+323. Find the equation of…

Q: |2tan x In (cos x) dx=

A:

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

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: 2tan x In (cos x) dx=

A: here we have to integrate the given integral.

Q: Which is the derivative of y= sin (x2-2x + 1)? (2х -2) (2x-2)Cos(x²-2x + 1)

A: We have to find derivative

Q: 28. The derivative of In(x sin x) is 1. 1 + cotx а. b. C. d. tan x +x - +x sinx

A:

Q: 2sin x -1 2. y = cosx+ 2

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Consider the function f(x) whose second derivative is f′′(x) = 18x + 3 cos x. If f(0) = 4 and f′(0)…

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: x/2 | (cos(x) + sin(2x)) dx of

A:

Q: Find the tangent line to the function f(x) = 2x cos4(x) at the point (0,1)

A: We have given function fx=2xcos4x and point 0,1. We have to find tangent line to the function at the…

Q: 2х Find the second orfer derivatives of y=Tan" 1-x3

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 derivative of y with respect to x. y = tan 1 (In 4x) 1+ (In 4x)2 xV1+ (In 4x)² x(1 + (In…

A: We will find the derivative of y with respect to x as following.

Q: )if x+tany+ sin-x+ In(yx) +3**1 =4 then find y'

A:

Q: Find the second order derivatives of the function f(x) ex sinx cos 2x

A:

Q: Find the Equation of tangent line of the function f(x) = 1+ csc(x) – cos(x) 2n 4+v3 3' 23 At the…

A: Answer

Q: Consider f(x) = 3 − cosx on the interval [0, 7]. When will the first derivative equal zero?

A:

Q: Let f (x) = 7 cos(Tx). Find the twentieth derivative of f (x).

A:

Q: Find the derivatives of the functions in Exercis

A:

Q: g(x) = cos ¹x+ 1-x

A:

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

A:

Q: Find the 2nd derivatives

A:

Q: Compute the derivative f'(x)given sin x 1 dt 1- 12 f(x) = cos x

A:

Q: Find the derivative of y with respect to x. y = In (tan -1 (9x5))

A: Given : y=lntan-19x5

Q: Find the differential for y = tan 2x2

A: Find the differential equation for given equation We need to take derivative for tan using the…

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

A:

Q: Find if dy dx y = (cos x) * O (cos x) * (-sin x) O (sin x) * (In cos x - x tan x) O (sin x)* (In cos…

A:

Q: The value of function f(x) = sin x (1 + cos x) is maximum when x is equal to

A:

Q: Find the derivative of both a and b a. x csc-1(1/x) b.(esin2x)/[In(cos2x)]2

A:

Q: What are the first and second derivatives of f(x) = cos 2x ?

A:

Q: 16. What is the derivative of the function: * y = sin(6x² - 1) y = 12x cos(6x² - 1) y' = x cos(6x² -…

A: Solving the problem by finding the value of the derivative.

Q: Find the equation of the line tangent to f(x) = cos² x – sin²| %3D at x = 6

A:

Q: What is the derivative of the: y = (1 + cos2 x sin x2)3/2

A: Given: y=1+cos2x sinx232 differentiate with respect to x, dydx=ddx1+cos2x sinx232dydx=321+cos2x…

Q: In (sinh x ), + tanh x j + 1-x k )dx 1- sinx

A:

Q: Find the derivative of y with respect to x. 58)y tan (In 2x)

A: Firstly, we use the result that  derivative of inverse of tan of x is 1/1+x^2

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

A: To compute :

Q: x sin 2x sin cos x 2 X. Prove that 8 dx 2х - л

A:

Q: The derivative of: y =0(sin (In (0)))+cos(In (0 )) is:

A: Given :y=θ(sin(ln θ))+ cos ln θ dydθ=θcos ln θθ+sin ln θ-sin  lnθ θ      =cos ln θ+sin ln θ-sin  lnθ…

Q: Differentiate implicitly for the equation for x^2y+x^3-cos(x)=3y^2

A:

Q: If f(x) = A B tanx 1+e 1+1² 1+e¹ In (secx) √ 1+tan²x 1+ e tanx sec 3x tanx -dt, then f'(x) equals

A: solution:-f(x)=∫0tanx1+t21+etdtApplying leibniz integral…

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

A: Given: Formula Used:

Q: Find the derivative of y with respect to x. y= In (tan (4x*))

A: