232) fcx) = coS X 5X e d COS X^ 5X dx tesx). 그

Q: What is the third derivative of 大 f(x): f(r) = 2 + cosx?

A: The given function is fx=x3+cos x. Evaluate the first derivative of the given function as follows.…

Q: 4. Find using derivative rules. dx sinx x8+x x2 tanx (a) y = (b) y= (c) y = cos³(3x² + 9) cos(5 x*)…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: Does the function cos x х f(x) = 0, x = 0 have a derivative at x = 0? Explain.

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Q: f (x) = sec t dt %3D

A:

Q: Show that y=sec^2x and y=tan^2x have the same derivative. What can you say about y=sec^2x-cot^2x?

A: Given y=sec²x and y=tan²x Now derivative dy/dx=d/dx( sec²x) =d/dx(1+tan²x) dy/dx= 2tanx sec²x   Now…

Q: Find the equation of the line tangent to the graph of f(x) = – = -3 cos (x) at x = 3 m(x – xo). You…

A: given: the function f(x)=-3cos(x) the point is x=-π3

Q: What is the derivative of f (x) = cosh(x) + sinh(x)?

A: Given that f(x)=cosh(x)+sinh(x) find the derivative of f(x)

Q: y Arctar 3-V9-x2

A: Given: y=tan−1x3−9−x2 To find: the second derivative of the function

Q: Describe the two methods that help to differentiate the equations implicitly, and find the…

A: The two methods that help to differentiate the equation implicitly and derivative…

Q: Find the derivative of the function. y = sec 2  x  +tan 2 x

A:

Q: The second derivative of a curve C at any point is d2y/dx2 = sec2x tan x. If 2 is the slope of the…

A: Solution

Q: Solve for the derivative of y=sec3(2-3x) With the answer 9 sec3(2-3x)tan tan (2-3x)  Show…

A:

Q: 16. Find the derivative: h(x)=3 tan“(e²*)

A:

Q: How do I find the derivative of this? Isn't it the Quotient rule?

A: Given,

Q: =[in(4-x cos (r4

A:

Q: y=C1x + C2e + x2

A: The givne equation is:y=C1x+C2e-x+x2To eliminate the arbitrary constant/s

Q: 3. Differentiate, using differentiation Rules. Do not simplify your derivatives: (a) f (x) = (x)

A: Given function is: fx=xx4·kx To find: Differentiate using the differentiation rules.  Required…

Q: . Does the function cos x x + 0 f(x) = 0, x = 0 have a derivative at x = 0? Explain.

A: Consider the given function fx=1-cosxx        x is not equal to 0x=0

Q: Apply the first derivative test to indentify all relative extrema. f(x) = cos² (2x)

A:

Q: Explain two different observations about the graph of y=cosx that prove its derivative is y= -sinx.…

A: Explain two observation about the graph of y=cos x and the graph of y=-sin x to prove that the…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of = [ sin (t*) dt F(x)…

A:

Q: Is the function above differentiable everywhere? Explain using derivatives.

A:

Q: Find the derivative of the trigonometic function, no chain rule please! 2.2 & 2.3 rules only…

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Q: What is the derivative of sin(2x) at the point (0,0)? O 2 O -2 O 4

A:

Q: 2. Using the definition of derivative, prove the following: (a) fo= if s)-V (b) y-sec'x if y tanx

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Q: Find the derivative. Simplify where possible. f(x) = x sinh  x - cosh x

A: The given function is fx=xsinhx-coshx.

Q: derivative of g(x)= intergral from 1 to root x, (z^2)/z^4+1

A: ddx∫1xz2z4+1dz

Q: What is the derivative of f(x) = tan-(x)? %3D

A: We can solve this as follows:

Q: Can you hall me with this question. Thank you.  find the 55th derivative of the function f(x)=…

A:

Q: Use the quotient rule to find the derivative of - 9 sin(x) + 6 4а9 — 6 - You do not need to expand…

A: I have stated the used formulas in the solution.

Q: sec- 1 2. у %3D| tan

A:

Q: farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it in…

A:

Q: : Find the tangent line when the function 1- y= 4+Cot x -2Sec x and point (÷ ,0) 2- y= x2 at the…

A: We need to find the tangent line in question (1) and (2)  and derivative function in question (3)

Q: verify that sinh x and cosh x are derivatives of each other. Verify: (cosh^2)(sinh^2) x = 1…

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Q: 8. y= sec® (e-sin?x) |

A:

Q: What is the derivative of 2x cos x ? 2 cos x - 2x sin x 2 cos x+ 2x sin x -2 sin x 2 sin x 2x-sin x

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Q: f (0) = 2 sec 0 + tan 0,0 < 0 < 2n

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Q: how to find the derivative of 1-sec x

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Q: Find the derivative of y = arctan(x² + 3)

A: To find: The derivative of y=tan-1x2+3. Formula used: Chain rule of derivative: fgx'=f'gx·g'x Power…

Q: Ex: Use definition of derivative to find the derivative of f(x) = sin x %3D

A:

Q: Calculate the derivative of y = cos (7x³). (Use symbolic notation and fractions where needed.)

A:

Q: draw the function and its derivatives. explains why of its derivatives:   y=cosx

A: Given y=cosx

Q: b. Find the derivative of y = Scos (x) sin(3–2x) + tan2(3x² – 4x) – csc(V2x – 1 Jand express your…

A: To find the derivative of below equation

Q: 5. Find the second derivative of f(x) = arctan(2x"). (You do not need to simplify your answer.)

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of r1/a h(x) = | 10…

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Q: mit used to find the derivative is g have a derivative at 3? Yes No

A: Limit: g(x)=|x-4|We need to chech L.H.D and R.H.D of the above function. at…

Q: 5. Carefully explain why 2 arcsin(x)+2 arccos(x) : Hint: How can we tell a function is constant from…

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Q: Find the derivative of the transcendental function. 9(1 - sin(x)) y 2 cos(x) Need Help? Read It

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