Use the figures to evaluate the function if f(x) = sin x. (x, 1) f(a + B)

Q: Find the derivative of the trigonometric function.

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Q: Differentiate the function. f(x) =  3x 2  - 2 cos x

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Q: Write the first and second derivatives of the function f(x) = x3 - 3x2 29x f'(x) f"(x) = Use the…

A: Given function is

Q: Determine whether the point x=0 is an inflection point of the function f(x)=sinx.

A: Inflection point is the point on f(x) where the graphn changes the concavity. At this point  double…

Q: 2х-9 F(x)% = %3D 4х

A: We have to find the definition of the derivative to find f(x). By the definition of the derivative,…

Q: Use the Product Rule to find the derivative of f. f(x) = csc(x) sec(x) f'(x) = %3D

A: Topic :- Differentiation

Q: Find the derivative and simply. 1+cosx (a) f(x) = 1-cosx (b) f(x) = 3x5 cot-1 x

A: Part aGiven,          fx=1+cosx1-cosx

Q: Using the definition of derivative, show that f'(2) = for f (x) = Vx+ 2.

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Q: Find the derivative  f(x)= sin 2xcos2x

A: The given function is,

Q: Determine whether f(x)=sinx+cosx is an odd or even number

A: Given function is f(x)=sinx+ cosx

Q: Find the derivative of the trigonometric function. g(x) = 8 tan(9x) g'(x) =

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Q: Use formulas (1) and (2) and the power rule to find the derivatives of f (x) = 1/x3

A: Definition used -                     1am=a-m            Power rule of derivative -…

Q: |(9-x)³ x² – 2 9. f(x) = In -

A:

Q: Compute the derivative. f (x) = sin2 x

A: First of all, consider the formula for the chain rule and the given function f (x). Then assume u…

Q: Let f(x) = 4x² +. Use the definition of the derivative to find f'(1) %3D

A: To find- f'(1)

Q: Sketch the graph of the function f(x) = 12 x sin x on the interval [−3π, 3π]

A: we have to sketch the graph of the given function at the given interval. f(x)=12xsinx on the…

Q: (a) Use the Quotient Rule to differentiate the function tan(x) – 1 sec(x) f(x)

A: Given Data: fx=tanx-1secx   (a) Differentiate the function using the quotient rule,…

Q: The range of f(x)= cosx is: *

A: Cosx is a trigonometric function with period 2π.

Q: Find all possible functions f with the given derivative.  f'(x)= ex

A: The given derivative function is,

Q: Use the quotient rule to differntiate the the function. f(x) = [ tan x-1/sec x]

A: Given: fx=tanx-1secx we know that ddxuv=vdudx-udvdxv2                                          ..1

Q: Let f be a function. Explain, using any method , as to why f(x) and f(x) + 2 have the same…

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Q: Find the derivative of the trigonometric function. g(x) = 9 tan(2x)

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Q: Suppose f''(x) = -(sin(x)), f'(0)=6 and f(0)= -1 Find f(π/2) =?

A: Given query is to find the value of the function at indicated point.

Q: Find all points of inflection and discuss the concavity of the function f(x)=-sin x+cosx on the…

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Q: Find the derivative of the trigonometric function. f(x) = −x + tan x

A: Given: f(x) = −x + tan x

Q: Apply the second derivative test to find the absolute extrema of each function on (0, 0) 6. a) f(x)…

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Q: Find the derivative. Show each step of work.  f(x) = 2x2 + 9x + 4, find fʹ(x)

A: f(x)=2x2+9x+4differentiate both side with respect to xf,(x)=ddx2x2+9x+4

Q: Use the definition of the derivative to find f(x) where f(x)=DV3x+1

A: f(x)=3x+1

Q: Let f(x) = 8 sin-! (x*) s'(x) =|

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Q: Let f(x) = 4x² +. Use the definition of the derivative to find f'(1). %3D

A: To find the derivative of f(x) at x=1 using the derivative definition.

Q: Let f(x) = 4x² + . Use the definition of the derivative to find f'(1). %3D

A: We can make it easier for you

Q: Use the Product Rule to find the derivative of the function.                                 f(x) =…

A: we have to find the derivative of the given function using product rule.  f(x) = x3 cos x

Q: 4 3. Лх) — Зх - 5 %3D

A: Given that  f(x)=4/(3x-5)^2  To find the derivative of f(x)

Q: Find the derivative of the trigonometric function f(x)=sin2x using the limit definition.

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Q: Let f(x) = square root ( 4x + (3x -5)10 ).Find the equation of the tangent line to the graph of the…

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Q: If f(x) =>(1- (sinx)²)" .Determine the value of f)

A: use the trigonometric identities to simplify and the solve. detailed explanation is in step 2 answer…

Q: f(x)%3D (6- x²)3 — х? %3D

A: DIFFERENTIATION OR DERIVATIVE The differentiation is a process of finding the rate of change of one…

Q: Find the derivative of the function. f(x) = tan(5x²) %3D f'(x) = %3D

A: To find the derivative .

Q: Write the first and second derivatives of the function. f(x) = x3 - 6x² + 29x f'(x) f"(x) Use the…

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Q: Explain why the function has at least two zeros in the interval [1, 5].              f(x) = 2 cos x

A: To show the function has at least two zeros .

Q: Use a computer algebra system to find the derivative of the function.

A: Given

Q: Find all points on the graph of the function f(x) = 2sin(x) + sin²(x) at which the tangent line is…

A: To find the points at which tangent line is horizontal, we must find slope of horizontal line. The…

Q: Show that F(X) = Sin X ornot.

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Q: Express the function in the form f◦g. f(x)=sec(x2)tan(x2).

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Q: a) Use the definition of the derivative to find f '(x), given f(x) = 4x² – 1.

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

Q: 2. For f(x) = x tan-(x), find f'(x).

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Q: Use the definition of a derivative to find f'(x) for f(x) = v2x

A: Solution:Given     f(x)=2xTo find f'(x)Formula:By the defition of derivativef'(x)=limh→0f(x+h)-f(x)h

Q: Let f(x) be defined by f(x) = 3x² + 5x – 40. Let (a, b) be the point on the curve y = f(x) such that…

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