1. Each of the following functions is defined at x = 3 but not differentiable at x = 3. Cleary explain why each function is not differentiable there. a) f(x)=√3-x b) f(x)=(x-3) ³ c) f(x) = |x-3| The best explanations will involve graphical and algebraic reasoning. TIPS: 1. Determine the equation(s) of the tangent(s) to the curve y = 10x - x² - 16, from (1, 18). 2.The line y + 2x = 0 is tangent to y = F(x). Determine F(x) if F'(x) = 4x³ +2.

Q: given the function flx) =x² - 3x + 1. Use this function to find The equation of the tangent line to…

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Q: For the function f(x) 5x3 – 8x? + 8x, Step 2 of 2: Find the equation of the tangent line at x = 1

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Q: 2. In a study on the speed of muscle contractions in frogs under various loads it has been found…

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Q: 2 6. For the function(x) = 2x² approximate the slope of the tangent line at (1,2)

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Q: a. Graph the function f(x)=x²-8x+12. b. Identify the point (a,f(a)) at which the function has a…

A: The given function .We have to find an accurate conjecture for the slope of the tangent line at .

Q: 2. Given f(x) = x³ – 7x? + 16x - 10 find the location of all horizontal tangent lines.

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Q: Explain why the graph of f(x) = 2a+1 has no horizontal tangents.

A: Solution :   In the given question we have to find why the graph of given equation has no horizontal…

Q: 1- Find the derivative of the following functions: 2 a) ƒ (x) = (√x + 1) (²⁄3 − 2) b) g(t) 3√√x²-1…

A: We have to find the following derivatives.

Q: i. ii. following functions. y = 6x² 10x - 5x-² V= 1+x-4√x x

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Q: 2, Differentiate the following functions. DO NOT USE PRODUCT OR QUOTIENT RULES. SHOW ALL…

A: a. f(x)=e6+5x4+6e Differentiating f(x) with respect to x using power rule of differentiation…

Q: 6. Given the function f(X) = ³ + 2x + x² + x* . Determine the equation of tangent line at x=1. Give…

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Q: Use the figures to evaluate the function if f(x) = sin x. (x, 1) f(a + B)

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Q: 8. Given the function f(x)%=2x3 -5x3 , find the point where the tangent is horizontal to the curve.

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