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Finding an Equation of a Function Find an equation of the function $f$ that has the given derivative and whose graph passes through the given point.\\ $f'(x) = -3x^2(2 - x^2)^4$; $(0, 8)$\ f(x) =

          Finding an Equation of a Function Find an equation of the function $f$ that has the given derivative and whose graph passes through the given point.\\
$f'(x) = -3x^2(2 - x^2)^4$; $(0, 8)$\
f(x) =
        
Finding an Equation of a Function Find an equation of the function f that has the given derivative and whose graph passes through the given point.

f'(x) = -3x^2(2 - x^2)^4; (0, 8)f(x) =

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Finding an Equation of a Function Find an equation of the function f that has the given derivative and whose graph passes through the given point. f'(x) = -3x^2(2-x^2)(0.8 f(x))
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Transcript

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00:01 In this question we have been given with f of x is equal to 3x square minus 5x plus 4.
00:09 We need to find the derivative of the function.
00:13 So the derivative of the function is given by f dash of x is equal to d by dx of 3x square minus d by dx of 5x plus d by dx of 4.
00:32 And we know that d by dx of x power n is equal to n into x power n minus 1...
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