(Initial-value Problem) Find the function f(x) that satisfies 5 f(1) = 12 . √x Then, enter the value of ƒ(4) . (Enter your answer as a decimal as needed. Do not do any rounding.) f'(x) = and

Q: Find an equation for the tangent line to the graph of the given function at (-3,1). f(x) = x² – 8…

A: Given: The function fx=x2-8and the point -3,1. To find: The equation of tangent line to the graph of…

Q: USE THE SECOND DERIVATIVE TEST To FIND LOCAL EXTREMA OF THE FUNCTION. F(x)= -x³ +12x² -5ON R.

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Q: Find the derivative of the function. 9 + 7x - 6/x y =

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Q: f(x) = 3x².³√x² + 5t +e" find the derivative

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Q: Find the derivative of f(x) = √5 - 4x. To enter √a, type sqrt(a). f (2)

A: The objective objective is to find f'(x).

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

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Q: 1. The cost (in thousands of dollars) of extracting x tons of iron ore from a mine is given by the…

A: Given: The cost of extracting x tons of iron ore from a mine is given by the function C=p(x). To…

Q: Find the derivative of the 1 f(x) = x5 + (x² + 7)(x² – x – 2) + 17 5.

A: Given: fx=15x5+x2+7x2-x-2+17

Q: Find the derivative of the function. k(x) = -2(12x²+5) -6

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Q: Water is leaking from a tap at a rate of x cm³/min. (a) Write down an expression for the time taken…

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Q: x+D メD

A: To Determine: we have a function then find the derivative Given: we have a function Z(x)=Hxx-D2+x2…

Q: a critical point of fif either f'(c) = 0 orf'(c) does not exist. ) is an absolute maximum value of…

A: Solution is here

Q: Consider the following. f(x) = (a) f(x) = −4x³ + 7x4 − 9x +3 (b) Evaluate each of the following.…

A: Given: To Find: (a) To find (b) To evaluate .

Q: f(x ) = x -3 х 2—9

A: Simplify the function then take derivative and draw the graph.

Q: Find the derivative the following functions. a) h(x) = 4√√x+3x8 +5ex + π² x³-6x²+8x b) g(x) x²-2x =

A: The given functions are The aim is to find the derivative of the given functions.

Q: Q11 Find the derivative of ƒ(x) = (x² + 5)(3x − 1) (a) By simplifying and then differentiating (b)…

A: Let two functions u and v then ddx( u,v ) = udvdx + vdudxGiven function f( x ) = ( x2 + 5 )( 3x - 1…

Q: How many real roots does the function f(x) = x 9 - 20x + 1 have? Find their approximate locations.

A: The best way to locate the number and nature of real roots will be to plot the equation.

Q: • Find the derivative of y = 5x2 in the following three ways, using algebra to make sure you get the…

A: y= 5x2/3√x

Q: xe (b) Evaluate the integral dx. (1–x)*

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Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

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Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

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Q: Estimate the slope of the tangent line of the function y(x) = 24 at x = 1. 2+x (Use decimal…

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