3-10 - Slope of a Tangent Line Find the slope of the tangent line to the graph of f at the given point. • 3. f(x) = 3x + 4, at (1, 7) 4. f(x) = 5 – 2x, at (-3, 11) 5. f(x) = 4x? – 3x, at (-1,7) %3D 6. f(x) = 1 + 2x – 3x², at (1, 0) 7. f(x) = 2x, at (2, 16) 8. f(x) = x' + 1, at (2, 9) 5 9. f(x) * at (3, 1) x + 2' 6 10. f(x) at (2, 2) * + 1'

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Q: Assume that functions f and g are differentiable with f(-5)% = -4, f'(-5) = -4, g(-5)= -3, and…

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Q: equation of the curve at every point of which the tangent line has a slope of -e-².

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Q: For f(x) = x, the instantaneous rate of change is known to be - 6 at x= - 3. Find the equation of…

A: Given  The equation is f(x) = x2 . The instantaneous rate of change is -6  at x=-3

Q: (a) find the slope of the curve y=x^2-2x-5 at the point P(2,-5) by finding the limiting value of the…

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Q: Consider the equation and the given point. f(x) = (x – 3)(x² + 6), (1, –14) (a) Find an equation of…

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Q: Find the value of the derivative (if it exists) at the indicated extremum. f(x) - - 3xVx + 2 4 - 10…

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Q: a. Find the derivative function f' for the functionf. b. Find an equation of the line tangent to the…

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Q: The derivative of a function f(x) is given by f'(x) = (x – 2)(x +4) Va2 + 1. a. Find an equation for…

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Q: A) Find the average rate of change F(x)=-3xsquare+x-1 between 〚-1, 0 〛 B) Find the different…

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Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

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Q: A. Equation of a Tangent Line: Find the standard (slope-intercept form) equation of the tangent line…

A: 1.  Given, fx = x2 - x + 2 = ySlope of tangent = dydx = f'x = 2x - 1At point 0, 2,f'x0, 2 = 2×0 - 1…

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Q: II. Find the standard equation (slope-intercept form) of the tangent line to the given function at…

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Q: a. The slope of the tangent line to the differentiable function f at f(2+Ax)-f(2) the point (2,…

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Q: For f(x) = x°, the instantaneous rate of change is known to be 405 at x = 3. Find the equation of…

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Q: Activity 3.2. Find the slope of the tangent line to the graph of the function defined by y = 4 + 2x…

A: Activity 3.2:Slope of the tangent line to the curve y=f(x) at(x0, y0) is given by dydx(x0,…

Q: (a) Using a calculator or a computer program, find the best-fit linear function to measure the…

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A: Given; fx=65x & Px0,y0=3,25 As we know that; The slope of the tangent line to the given curve is…

Q: Derivatives from tangent lines Suppose the line tangent to thegraph of f at x = 2 is y = 4x + 1 and…

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Q: 8. (10 points) The value x = is a critical number of the function f(x) = x In(x), which has…

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Q: Derivatives from tangent lines Suppose the line tangent to the graphof f at x = 2 is y = 4x + 1 and…

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Q: 6. Suppose that g(x) = -2x2 + x. a. Find the average rate of change of g from-2 to 5. %3D b. Find an…

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Q: Find an equation of the tangent line to the graph of the function at the given point. 6x (-3, 9)…

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Q: Instead of using the tangent line to estimate the value of the functions, we could estimate when the…

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Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 20-x²;…

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Q: Because the derivative of a function represents both the slope of the tangent to the curve and the…

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Q: Consider the equation and the given point. f(x) = (x - 3)(x? + 6), (1, -14) (a) Find an equation of…

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Q: 75. Derivatives from tangent lines Suppose the line tangent to the graph of f at x = 2 is y = 4x + 1…

A: The line tangent to the graph of f at x=2 is y=4x+1.