9. lim ln (1-cos x) x->0

Q: If f(x): ƒ'(x) = f'(5)= = 7x² + 2x + 5 √x " then:

A: Given: It is given that the function is fx=7x2+2x+5x. To find: The main aim is to find the…

Q: The slope to the tangent line of a curve is given by f(x) = x2 -9x + 12. If the point (0, 9) is on…

A: Given that slope equation and we find the equation of curve. I.e.  df(x)/dx = x2 - 9x + 12. And also…

Q: 6x7

A: 6*7

Q: y y (x₁, y₁) f'(x₁) = ? ******** y = f(x) = ? (x₁, Yi) X y = f(x) ४ ✓ Choose... Ordinary…

A:

Q: d. True or False: dx ((f (9 (x)))) = f' (g' (2)) True False Can't tell, it depends on the rule It's…

A: We have to check

Q: How Reducible Second-Order Equation is form?

A: Given:  How Reducible second order equation is form.

Q: If f(x) = (x + 1)( x + 2), find f'(0)

A:

Q: 7. y = y5 +6y* +35x³ –5x² –100 8) y= /2x

A: We have to find the 3rd derivative of given functions.

Q: Use the Second Derivative Test to find all relative extrema of the function f(x) = 2x - 6x +7.

A:

Q: Find the derivative by using the quotient rule. 3x-2 (a) 2x +3 Jx +2 (c) x2 3+2x (b) x² +1 (d) *+2

A: Given: a)  3x−22x+3b)  3+2xx2+1c)  x+2x2d)  x+2x

Q: Bonus) Find the equation of the secant line that passes through f(x) = -(x + 2)² at (2, f(2)) and…

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Q: f (x) = ƒ a + bt + ct²dt 2 f'(x) = x²(2x³ – 3x) + 4x - and calculate: a +b+c=?

A:

Q: 2x+1 Use Derivative Rules to find the derivative of g(x) x2-1

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Q: f(x) = (x-3)(x+1) (x-2)(x+2)(x+1) %3D

A:

Q: F(x) = -7+ x2 INTERUAL-ピ-3 -2. AUERAGE RATE of

A: Given query is to find the rate of change for the given interval.

Q: 8. For f(x, y) == xex²y Find fx (1, 2) {needs product rule}

A: Explanation and some important formulas:

Q: If f(x) = x²/(4 + x), find f "(4). f "(4) = %3D %3D

A: The given function is f(x)=x24+x

Q: ax? +b given f (x) and f' (0) = -4, what is the value of " bx+a

A: first we find f'(x) . see 2nd step.

Q: ( 2 + x², -2 <x< 0 1. f(x)dx; f(x) = 1 -x + 2, 0<x< 4 2* -2

A:

Q: X - 2 Consider the function f(x) x – 4° Use the graphing utitlity to graph f.

A: 1. The given function f(x)=x-2x-42. f'(x)=x4-16x3+81x2-146x+80

Q: Realice la gráfica f(x) = 2x +2

A:

Q: [x, y]²=[-1,0]=-1

A: We have [x,y]^2=[-1,0]=-1

Q: 2. Find y'" if y=-2x³4x-3

A:

Q: The equation of the line tangent to the differentiable and invertible function f(x) at the point (5,…

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Q: Find the equation of the line that is tangent to y = 2log3(x + 1) and is perpendicular to the line y…

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Q: The maximum heart​ rate, in beats per​ minute, that you should achieve during exercise is 220 minus…

A:

Q: Let f be the linear function f(x) = -4x + 8. (a) The rate of change of f is (b) The graph of f is a…

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Q: | (x-)(x+ 3) dx

A:

Q: |(r +x² +x+1)(3x* +4x° + 6x² + 12x + 1) dx (x3

A: Use the substitution method and simplify the integration first then integrate.

Q: True or False? Var(Y|X = x0) = Var(Y).

A: We need to answer if: Var(Y|X=x0) = Var(Y) is true or False.

Q: (This is a calculus optimization problem, please show all work and add the chart for the first…

A:

Q: f(x)=2x÷x^2+8x+15  Graph tell what's points are increasing and decreasing mark mark  that are…

A: The function is given by,