Make a sign diagram for the derivative of the function. fx) = 3x – 8x3+ 6x2 F'(x) 2v0 f'(x) ?V0 F'(x) ?V0 F"(x) ?V0 F'(x) ?V0 x3D Find all open intervals of increase and decrease. (Enter your answers using interval notation.) increase decrease Sketch the graph of the function. y -1 -2 2. -2 -1 1 Need Help? Read It

Q: Find the derivative of the function g(x) = sech2 3x

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Q: と FCx) = 1oga x-1 %3D

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Q: Can you help me step by step with this problem?

A: To find the first derivative of the function given below.

Q: List the intervals of concavity for f(x) if it has a second derivative of f'(x) = (x +2)(8x - 25).…

A: The given second-order derivative is: f''(x)=(x+2)(8x-25) So, f is concave upward if:…

Q: Find the second order derivative of f(x) exsinxcos2x

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Q: Find the derivative of the function. Simplify where possible: y=xcos^-1x-sqrt(1-x^2)

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Q: Find the derivative of 1 f(x) || 1+ Vx using the definition of derivative. State the domain of the…

A: We have to find the derivative of the given function by using the definition of derivative.

Q: Find the derivative of the function. 21/4 1/2 +1

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Q: Find the derivative of f (x) = x at x = -4 algebraically. f' (-4) =

A: f(x)=x3 Find f'(-4)

Q: 5. Use the definition of derivatives to find f'(2) given that f(x) = 2x² -r+1

A: According to our company guidelines we are supposed to answer only one question since you have asked…

Q: Find the derivative of the function. y- tan-(V-8

A: In this question, we need to calculate the derivative of the given function.

Q: Find the derivative of the function. Express it using positive exponents only. y…

A: For power 3, use the power rule. Then use the chain rule

Q: Find the derivative of the function. g(x) = (sech(8x)) g'(x) = %3D

A: take derivative

Q: Find the derivative of f(x) = Vx-7 tan-(x) + In a- 2.

A: We have to find the derivative of the function f(x)=x-7tan-1x+lnx-2.

Q: Find the derivative of function.

A: We have given y=-2ln x3x-1. Differentiate both sides with respect to x. Use constant multiple rule…

Q: Use definition to find the derivative of the function f (x) = 5x- 2x at = 3. [2 Marks] %3D

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Q: Find the derivative of the function. 2 + 2

A: To find the derivative of the function, y=rr2+2

Q: Find the derivative of the function. y=4arcsin(x/2)-xsqrt(4-x^2)

A: Here given  Use the product rule of derivative which states  Also, use the formula of the…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given, f'(x)= sec22x; π2, 0

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of…

A: The slope of tangent to a curve y=fx  at point a,b is given by dydxx=a.

Q: Find the derivative of the function. 2 x* + 2 .2 y 2 y' =

A: y = x2+2x2-25we know:ddx xn = nx(n-1)ddx f(g(x)) = f'(g(x)) . g'(x)

Q: Find the absolute extrema of the function f(x) =x* - 32x + 256 on the interval [- 5,5]. Find the…

A: To find: The absolute extremum of the given function

Q: 6. Sketch the graph of y= x2+ by using the properties of the derivative.

A: The given function y=x2+2x

Q: Estimate the derivative of the function f (x) = - – 3 at the point x = 3. 3 3 1/5 1/3

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Q: Find the derivative of the function. y = /x(x - 3)? y' = %3D

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Q: Find the derivative of the function f(x)= xsinx+x^2e^2-1.

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Q: Find the derivative of the function f)= [sec() 6 sec-1 xVx2-9 1 sec x Vx2 -9 O 3 sec-G) 3. xVx2 -9 3…

A: In this question we have to find the derivative of the given function.

Q: -1 2.) у %3D tan -6.x4

A: To differentiate: y=tan-1(-6x4) Solution: We know, ddx(f(g(x)))=f'(g(x)).g'(x)…

Q: find the function with the given derivative whosegraph passes through the point P. g'(x) = 1/x2 +…

A: g'(x)=1x2+2x,P(-1,1) Formula ∫xndx=xn+1n+1+C

Q: the first derivative of a continuous function y=f(x) is y'=x(x-12)^2 .find y'' and then use the…

A:

Q: find the derivative of the function f(x) = x2 what is f'(3)? what is the equation of the line…

A: Given function is f(x)=x2

Q: Draw the function x = 2y- y2 by using the tools of derivatives? %3D

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Q: Find the derivative of f(x) = log, (3x4 − 2x²) at the point x = 3. Enter an exact answer. Provide…

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Q: Find the derivative of the function. y= 2^(3-x^2)

A: Given function

Q: 1 EX-1- Find the derivative of the function : f(x)= /2x+3

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Q: Draw the function x = 2y-y2 by using the tools of derivatives?

A: The given function isx=2y-y2.

Q: Find the derivative of the function: F(x)= sech [sech (sech-12x)]

A: Consider the given function. Fx=sech−3sech−2sec−12x Let's consider that sech−2sec−12x=t in the…

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 transcendental function y=4e^x/x^2+9

A: y=4exx2+9

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A:

Q: Use the graph of f'(x), the derivative of f(x), given to the right to answer the following question.…

A: Given that f(3)=-3 So, let x0=3⇒y0=f(x0)=f(3)=-3 And from the graph f'(3)=2⇒m=f'y0=2

Q: Find the Derivative of the given function. If f(x) = -3, then f'(z) = %3D

A: Given f(x)=-3

Q: Find the derivative of the function. y = 9tan−1(x-sqrt(1+x2))

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Q: How do you find the derivative of function y=x^2-2radicalx/x

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Q: x +4 3. y = [- (x2+1)7 :3

A: Given that y=x+4x2+13 Simplifying we get y=x+43x2+132

Q: Sketch the graph of y= x2+2/x by using the properties of the derivative.

A: Given: y=x2+2x=x2+2x⇒y'=1-2x2⇒x2-2=0 ;  ⇒x=±2 are…

Q: Estimate the derivative of the function f (x) =: -3 at the point a = 3.

A: The function is given by fx=x3-3 differentiate the above function w.r.t "x" f'x=ddxx3-3…

Q: 3. Draw a line to match the graph of each function with the graph of its derivative Functions…

A: This graph is decreasing first, that means f'(x)<0 first. Then it is increasing. That means…

Q: The first derivative of the function f(x) is given by its graph.. f'(x) 3- 2-

A: A.  Function is increasing when f'(x) > 0  from graph  Function is increasing…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.