What do we call the point at x= of the function f(x) = sinx? 2

Q: Where are the functions f1(x) = ∣sin x∣ and f2(x) = sin ∣x∣ differentiable?

A: We graph f1(x) = ∣sin x∣  using a graphing calculator. We see that, at x=nπ, there are cusps.…

Q: Differentiate f (x) = sin Vx by the first principle

A: Here we use the formula

Q: Differentiate the function : y= sinx tanx

A: product rule: (uv)'= u'v+uv' Given: y=sinx tanx let u= sinx, v= tanx u'=(sinx)'=…

Q: Differentiate the function. f(x)  = In (Sin2x)

A: Use chain rule

Q: Differentiate the function   f(x) =    sin x  ln ( 5x )

A:

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: Differentiate the function. f(x) = sin(x) In(4x) f'(x) =

A: ddxu(x)v(x)=v(x)ddx(u(x))+u(x)ddx(v(x)) ddx(sin(x))=cosx ddx(ln(ax))=aax=1x…

Q: Solve the derivative: sinx – 1 F(x) = COSX Answer: sec(x)tan(x)(sin(x) – 1) -

A: We will find the derivative.

Q: Find the slope of the graph of the function at the given point.

A: We have the given function as fx=4x5+3x-sinx          ⋯⋯1 As we know that, slope of a function fx is…

Q: Consider the function f(x) whose second derivative is f''(x) = 4x + 6 sin(x). If f(0) = 3 and f'(0)…

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Q: Differentiate the function.   f(x)  = Sin (In x)

A:

Q: Consider the function f(x) whose second derivative is f"(x) = 9x + 5 sin(x). If f(0) = 3 and f'(0) =…

A: The function f(x) whose second derivative f''(x)=9x+5 sin(x)f(0)=3 and f'(0)=2

Q: 3) Determine the derivative of f (x) = (2x)53*. 4) Determine the derivative of f (x) = sin…

A: 1. By using u.v rule 2. By using chain rule

Q: Find the derivative of the function. f(x) = sin-(4x) f'(x) = %3D

A: The given function is: f(x)=sin-1(4x) To find f'(x) here.

Q: Differentiate the function   f(x) = sin x (ln x )

A: We have to differentiate the function: fx=sinxlnx Here, given integral is in product form so…

Q: sin x dx V2-cos² x

A: Given : ∫(sin x/√2 - cos2 x) dx     ....(1)   Let cos x = t   Differentiating both sides w.r.t. x -…

Q: What is the 28th derivative of sinx? A -sinx B -cosx cosx D sinx E) none of the given choices

A: Explained below

Q: Find the point of inflection of the graph of the function f(x)=sin(x/2), [0,4pi] (x,y)= Describe…

A: Derivative f'(x) = 1/2cosx/2 and second derivative f''(x) = -1/4sinx/2; To get inflection point let…

Q: f (x) = cos-(sin(x² + 3х))

A:

Q: Find the 39th derivative of the function f(x) = cos(x). The answer is function

A: Given f(x) = cos(x)

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

A:

Q: Consider the function f(x) whose second derivative is f"(x) = 7x + 10 sin(x). If f(0) f(x)? 3 and…

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Q: Differentiate the function y=ln(x5 sin2 x)

A:

Q: Find the derivatives of the functions y = 1/sin2 x - 2/sin x

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Q: Find the second derivative of the function. f(x) = sin(2x?) %3D f "(x) = 16x sin 2x) + 4 cos 22)

A: Given f(x)=sin(2x2) Formula: Derivative of sinx  = cosx Derivative of cosx = -sinx

Q: 2. Use the Intermediate Value Theorem to show that the equation sinx = x – 1 has at least one real…

A: In the question it is asked to calculate real solution of equation sinx = x-1. Also, it is asked to…

Q: Find f'(x) where f(x) = x*in(#) + (sin(x))".

A: Given that, fx=xsinx+sinxx To find the derivative of this fx=xsinx+sinxx, take the logarithmic on…

Q: Find the slope of the graph of the function at the given point.                         f(x) = 4x5 +…

A:

Q: Differentiate the function. f(x) = 5 sin2(x) − 8 cos2(x)

A: Given:

Q: Differentiate with respect to x. Y=sin5x

A:

Q: Differentiate f(x) = sin-(2x). Use exact values. f'(x) =

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Q: Explain graphically why there is no solution to cosh x = sinh x

A: cosh x = sinh x. We need to explain graphically why there is no solution to the given equation.

Q: Differentiate  x sin−1(x)  with respect to sin−1x.

A: Using derivative of one function w r to another function.

Q: sin x cos(y – 1) = 2

A: Using the implicit differentiation,

Q: differentiate the function: y= ln(x^9 sin^2(x)) y'(x)=

A: Given function as

Q: The derivative of sec² 2x (cos² r - sin² x) with respect to a is O2 sec 2x tan 2x O4 sec² 2x cot 2x…

A: Find the derivative

Q: Find the root of the function f(x)=sin x +xe* between -3 and -4. using secant method ɛ = 0 %3D

A:

Q: Consider the function f(x) whose second derivative is f''(x) = 7x + 3 sin(x). If f(0) = 3 and f'(0)…

A:

Q: Find the 31th derivative of the function f(x) = cos(x). The answer is function

A: f(x)=cos(x) f'(x)=-sin(x) f"(x)=-cos(x) f"'(x)=sin(x)

Q: Find the derivative of the function. y = sin2(x2 + 2) y' = %3D

A:

Q: Consider the function f(x) whose second derivative is f''(x) = 10x + 8 sin(x). If f(0) = 3 and f'(0)…

A: Given, f''(x)=10x+8sinx(x) After integrating the above equation,…

Q: The first derivative of the function tan2x sec2x C) sec2x cos2x O A) 2sin(2x) O B) (1-cos4x) O

A: It is known that ddxsinbx=bcosbx, where b is a constant.

Q: What is the 28th derivative of sinx? sinx B none of the given choices -cosx D -sinx A)

A:

Q: Find the derivative  f(x) = cos-1(3x) sin-1(3x)

A: To differentiate the function with respect to x.

Q: identify open interval on which the function is increasing or decreasing. f(x)=sinx+2, 0<x<2pi

A:

Q: Hi, I need help with this step-by-step please.

A:

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: Find all points on the graph of the function f(x) =2 Sin x + Sin2 xat which the tangent line…

A:

Q: Find the derivative of the function. y = sin(tan 8x) %3D

A: