Find the slope of the tangent line of the function using the given x-value. 7. f(x) = (x² + 4x)(3x² + 2x – 5) at x=0 8. g(x) = sin x cos x at x ==

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A: If we have a function f(ax) then the derivative of the function will be,     Here it is given that,

Q: Find the actual error when the first derivative of f (x) = sin(2x) at x = 1/8 is approximated by the…

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Q: 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(æ) 0.202 and…

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A: Given,f(x)=x-1differentiating both the sides w.r.t. xf'x=12x-11f'x=12x-11

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A: Trigonometris identities d/dx(tanx)=sec2x d/dx(in(x))=1/x d/dx(xn)=nxn-1 d/dx(sinh(x))=coshx…

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Q: 2the second derivative test to find the loscal maxilnum and minimulin of thie functioni 3 f (x}こ 2メ2…

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Q: 3 5.) y = ; x+5

A: Given:- y = 3/(x+5) y = 3(x+5)-1 Using Formula : [f(x)g(x)]' = f(x)g(x)' + g(x)f(x)' Now, y' =…

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Q: 4. Consider the function f (x) = 2x + 1. Find the equation of the tangent to dhe %3D graph of f(x)…

A: The given function is                                      f(x)=2x2+1

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