Which functions are odd or even?   (a) f(x) = -sec(x) is  (b) f(x) = csc(x+π/2) is  (c) f(x) = sec(x)+csc(x) is

Q: 2. Determine the derivatives of the functions given below using only algebra and the specified…

A: Part a,Given,           fx=-x23+x3x104

Q: Find the derivative of (b) f(x) = 2 tan-1(x) – 7x

A: Givenf(x)= 2 tan-1(x)-7x

Q: Find the derivative f(x)= (sin h^-1

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Q: 7. h(x) = tanx- tan 8. h(x) = 3 sec-x

A: we have been given the equations to differentiate w.r.t x

Q: Find the second derivative. f(x) = 7e−x − 8e−7x f ''(x) =

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Q: 3x y=3- + Arccos V8-x3

A: We have to find out the first derivative  .

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Q: 2x+1 Ise Derivative Rules to find the derivative of g(x) x2-1

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Q: cos x ln(x - *) *-+ In (e-e*) 6. lim

A: Topic:- limits calculus

Q: sin x cos 4x 32) lim X0 X+X cos 5x

A: Consider the given limit

Q: tan x g(x) 2 sec x %3D 5

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Q: Find the derivative f (x) = e3x+ x (csc x + sec x)² %3D

A: Using product rule of Differentiation we find the derivative of given function.

Q: How do I differentiate this function using the chain rule: f(x)=[x^2/sin(x)]^6

A: Given,           The function is fx=x2sinx6.

Q: Differentiate the function. f(x) − x - 3 sin x

A: we have to differentiate the given function f(x) =− x - 3 sin x

Q: Lim x-0 e³ +ex -x²-2 sin² x-x²

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Q: y-e" sec! x-3x° 2 csC X Sin x-2X

A: on doing the differentiation of this we get the

Q: 4 – x² f(x) 7+ x2

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Q: x+2 lim sin - x+6x+8 3 2.

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Q: using the definition of derivative to find f'(x) for the function:f(x)=4/x. How do I solve this?

A: Given problem is to find the derivative of f(x) = 4/x

Q: 2x+1 Use Derivative Rules to find the derivative of g(x) x2-1

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Q: Find the equation f(x)=1+csc(x)-√ cos(x) at the point (2π/3,4+ √ 3/2 √ 3

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Q: Find the equation of the tangent line to the graph of the function f(x)=4x3+5−−−−−−√ at the point…

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Q: Given the function f(x) = 3cos(x/2), find the relative extrema on the interval (pi, 7pi) using the…

A: Given that: f(x)=3.cosx2       in (π, 7π)

Q: Find the second derivatives of f(x) = 2x2+3x  3x+5

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: QI/Solve by mean value theorem 1- F(x)=x² In the interval [1,-1] 2-F(x)=coshx In the interval [-1,3]…

A: 1) F(x)=x2. According to mean value theorem. F'(c)=-12-(1)2-1-12c=0c=0 Since, c∈1,-1. Hence , Mean…

Q: tan hx tanh x sec hx-1 sec hx +1

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Q: 2. Use the derivative rules to find f (x). (a) f(x) = (2x® – 8x-2 + 9) +) 3 (b) f(x) = COS x CSCX_…

A: Find the derivative

Q: f(x) = sec x As x = π-/2, f(x) =  As x = π+/2, f(x) =

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Q: Find the first and second derivatives of the function. f(x) = x5 − x4 + 7x3 − 8x2 + 4x − 15 f '(x)…

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Q: x2 -4 b) By use derivative sketch the function f(x) %3D 2x

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Q: Range of the function f(x) = 2 sin(1/x) is

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Q: 1 -x2 + 6x dx = 10 - A In |-x2 + 6x - 10| + C -tan-1(x – 3) + C C -tan-1 (x + 3)+ C D tan-1(x – 3) +…

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Q: F CSC'x + - cos2x -cos^x -sec'x

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Q: f(x+Ax)-f(x) Use the definition of the derivative f'(x) = lim Ax-0 to find the equation of the line…

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Q: 2. The function can be differentiated using the Quotient Rule, and the functions x - sec x and xe*…

A: Yes the given statements are correct.Let,f(x) = xx+1f(x) = x+1-1x+1f(x) = x+1-1x+1f(x) =…

Q: Lim e^x +e^-x-x²-2/sin²x-x² when x approaches 0

A: The given limit is, This limit is in 0/0 form, so we can apply L’Hospital's rule,

Q: )etan²x f'(x) = (tan² x)et %3D Option 2 g tan?x f'(x) = (2 tan x)e

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Q: A function x = x(y) is defined implicitly by the equation cos (x y) = -yš +4 x y+4x Find using…

A: Given:           cosxy=-y3+4xy+4x  differentiating on both sides with respect to y.…

Q: tan x 3 sec x If f(x) ƒ'(x) = To two decimal places, ƒ' (1) = =

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Q: The function g has first derivative given by g'(x) What is 1+x + x3 the x-coordinate of the…

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Q: b. TRUE or FALSE. It is appropriate to use the chain rule to find the derivative of the function f…

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Q: cOs x tan x 28) lim x→0 sin 3x 29) lim x→0 2x x3 + 2x2 + x 30) lim x→-1 x4 + x3 + 2x + 2

A: As per our guidelines we need to solve only 3 questions .please repost the remaining subparts as…

Q: et Lim x-0 +e³-x²-2 sin² x-x²

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Q: II. Use the differentiation rules to solve for the derivative of each function. Show your complete…

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

Q: cos2x - sin2x cos2x / cosx - sinx) dx=1/3 F(x) + C. What is F(x)

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Q: f(x)=tan(x)-2/sec(x) f’(2)=?

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

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Q: The derivative of the function f(x) = -5x? – 16x + 22 by definition of derivatives f(x + h) – f(x) |…

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Q: what’s the derivative ? f(x)= ln(x^3 - 7x^2 + 1)

A: topic - derivative of a function