1 f(x)= sinx+cos 2x, 0

Q: [xus (2) x+10) xuIsx(p) x(1) (k)1 ×sinx (1x [x][a] (k) 1 x (m)xcosx

A:

Q: Let y = (2x + 3 sin(x))4. Find f(x) and g(x) so that y = f(g(x)) and compute the derivative using…

A:

Q: 3. Evaluate f sin(3x - 1) dx

A: we want to determine the integral  ∫ sin(3x-1) dx

Q: 2x sin x is x-0 1-cos x lim A. 5 В. — 5 C. 4 D. - 4

A: NOTE: Refresh your page if you can't see any equations. .

Q: If f(x) = cos x – 7 tan æ, then f'(z) -sin( x ) – 7 sec²(x) = f'(2) =

A:

Q: if f(x)=ln(1+cosx) then find f`(x)

A: f'(x)=(1+cos(x))'/(1+cos(x))      =-sin(x)/(1+cos(x))

Q: The derivative of the function f is defined by - f'(x) = (x² + 2) sin (2x − 2). If ƒ (2) = 7, what…

A:

Q: 4. Find (f-1)'(1) if f(x)=x' +8x+sin(3.x) а. Find (f-1)'(2) if f(x)= Vx' +x +xr+1 b.

A: To find the derivative of the inverse of a function

Q: ) = 5 + 4 sin(x). If f(0) = 3 and f' (0) = 4, what is f(x)? Consider the function f(x) whose second…

A: Given:

Q: For (cos(2x) – sin cos(x) – sin(x) - sin(2x) cos (2x)) +C. What is F (x)? A sin cos³ (x) – cos(x)…

A:

Q: 26. Show that the function has removable discontinuity at the origin sin 2x 2x f(x) = {Z 1 if x = 0…

A: Given f(0)=1 now we have find   limx→0f(x)=limx→0(sin2x2x)=1  ( By property)

Q: -1 We can conclude from the derivative of sin-1(x)and cos-1(x) that sin-(x) + cos¯(x) is constant.…

A: Explanation: find the derivative of sin-1x & cos-1x

Q: 6. Differentiate. a) f(x) = In (sin²x) b) g(x) = In (xe-2*)

A: Write sin2x as (sinx)2 and simplify the terms and use the log property to simplify the term and…

Q: Consider the function f(x)f(x) whose second derivative is f′′(x)=9x+10sin(x). If f(0)=3f(0)=3 and…

A: We have to find f(x) and find f(3) using given intial condition

Q: 2. Find all x values on the graph of f (x) where the tangent line is horizontal for each of the…

A: To find: The values of x on the graph f(x) where the tangent line is horizontal. Given information:…

Q: If f(x) = x cosh æ + 3 sinh x then f'(x) =

A:

Q: If f(x) = x cosh x + 5 sinh x then f'(x) =

A: Find the derivative

Q: True or false: The maximum value of the function y = -2 cos x + 5 is 7.

A:

Q: 3 cos(x) sin(4x) 3. lim x→0 2x

A: Solution:

Q: If f(x) = 4x sin-), find f'() = f' (0.4) -

A:

Q: f (x) = cos(x) f(x) = tan(sin(x)) g(x) = In(2x2 + 4x + 3)

A:

Q: 3-f(x) = tanh¯1(cos(e*))

A:

Q: 4. Show that sinx can be approximated by x-x³/6 within 0.01 on the interval [-1,1].

A: see my solution

Q: Let f(x): e² sin³ (4) x6 sec(x − 2) a. Solve for f'(x) without using quotient rule or product rule.…

A: As per the question we are given the function f(x) and we have to find its derivative f'(x)  without…

Q: The derivative of the function f is defined by ƒ'(x) = (x² + 5) cos (3x). What is the x-coordinate…

A:

Q: True or false: The maximum value of the function y = -2 cos x + 5 is 7.______

A:

Q: 3. Evaluate f x sin2 (x²) dx.

A: Given I=∫x sin2x2 dx To Find I

Q: 2x + a + 1 if – 1< x < 0 Let f (x) = { x*sin (if 0<xs1 x*sin if 0 ) <x< 1

A: Given that f(x)=2x+a+1-1≤x≤0x4sin1x0&lt;x≤1 It is true that the function is continuous at [-1,0) and…

Q: Find the equation of the tangent line to the function f(x) = In(5x) at x = 2. (Use symbolic notation…

A: Given that, f(x)=ln5x To find the equation of tangent line to the function f(x)=ln(5x) at x=2.

Q: x³+4x²+x-6 3 sin(-x)+3x² et f be the function defined at f(x)

A: Function

Q: 2x-5 4. f(x) = x2+4x-5 sin x 5. f(x) = cos x

A:

Q: 1 1- (-1)". f (x) = 2 sin nx. - n=1

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Q: Find f. f"(8) = sin(0) + cos(8), F(0) = 5, f(0) = 4 F(8) -sin(0) – cos(0) + 5x + 6

A:

Q: Solve for the derivative of the given functions using the Chain Rule formula. a.) Let f(x) = √(x2 +…

A: Solution

Q: If f (x) = - cos(x), then f (10) (x) is equal to (A) - sin (x) ® -cos(x) © sin(x) D cos(x)

A:

Q: 5. Find all x-values in which your function has horizontal tangent lines, f(x) = 2 sin x + x. given…

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

Q: 7) f(x) = sin² x+ cos² x %3D Cosx-Sin X Sin X Sinx t cosx

A: Given

Q: The expression f(x) = sin(x) cos(x) - cos³(x) simplifies to f(x) sin(x) Determine f(x). .

A: The expresion sinxcosx-cos3x simplifies to fxsinx.To determine fx.

Q: Find f'(x) if f(x)=sin^-1 (x-1/x+1)

A: We have to find

Q: Find the function f(x) whose derivatives is sin x and whose graph passes through the point (0,2). O…

A:

Q: Find the first derivative f' and the original function f. f"(x) = x – 14x + 4, f' (0) = 8, f(0) = 10…

A: Solve

Q: 4) * f sin´x-cos'x ax

A:

Q: 2) Find the derivative of the following func (c). f(x) = (x+ 7 sin z) (1 – 5 cos x) tanx (d). g(x) =…

A: We can find the answers as below.

Q: (b) Verify that f(x) = 2 cos(x) sin(x). f(x) = sin(7x) + sin(8x) 7x + 7x = 2 sin 2 = 2 sin |co(-)

A: Let the function is  f(x)=sin(7x)+sin(8x)   Formula used: Sin(a)+sin(b)=2sina+b2cosa-b2

Q: 15. f(x)= sin 3x 17. f(x)= tan 2.x 19. f(x)= 3 cos (x – 7/2) -

A: 15) For sin(3x) the range of the function will  be the same as sin(x) just the period, in this case,…

Q: 3 Find the maximum and minimum values for f(x) = - 4-(/2 cos x - V2 sin x)

A: Topic = Functions Maximum value of f(x)=1.5 Minimum value of f(x)=0.5

Q: What are the zeros of f(x) =8 sin x-4 on the interval [0,2r]?

A: We have to find the zeros of given function.

Q: Find f'(x) if f(x) = f'(x) = 8- cos x 8 + sin x

A:

Q: 1. lim 3r+2r+1 X-n Sx2+7x+4 2. lim +sinx

A: See 2nd step