Let P(x) = 5x² + 6. Estimate the slope of the tangent line of this function at the point x = 4. (Give your answer as a whole number.) slope of the tangent line:

Q: Let P(x) 4x2 +6. Estimate the slope of the tangent line of this function at the point x = 5. (Give…

A: Slope can be found using first derivative. We find P'(x).

Q: The slope of the tangent line to the graph of the function y = 2/x – 6 at (36, 6) is 6 -0.50 0.17…

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Q: If f(x) = 9x2 – x³, find f'(2) and use it to find an equation of the tangent line to the curve y =…

A: Equation of line : y-y1 = mx-x1 where x1,y1 is the point and 'm' is the slope of the line.

Q: For the function, find the point(s) on the graph at which the tangent line has slope 13. y =…

A: Given: y=-0.025x2+9x To find the slope of tangent we need to differentiate the given curve equation…

Q: For the function, find the point(s) on the graph at which the tangent line has slope 9. y = -…

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Q: If f(x) = 3x? - x', find f'(1) and use it to find an equa- tion of the tangent line to the curve y =…

A: f(x)= 3x2-1f'(x)=3 (2x)-0        = 6xf'(1)=6 (1 )= 6

Q: For the function, find the point(s) on the graph at which the tangent line has slope 7. y= - 0.025x2…

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Q: Find all values of x for which the tangent line of f(x) x2 + 18x + 96 is horizontal.

A: fx=x2+18x+96 Differentiating with respect to x, we get f'x=ddxx2+18x+96=12x2+18x+96·dx2+18x+96dx…

Q: If f(x) = 8x - x³, find f'(1) and use it to find an equation of the tangent line to the curve y = 8x…

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Q: Estimate the slope of the tangent line at the point t= -2 for f(t) = 6t-3 (Give answer as a…

A: The given function is f(t)=6t-3 at t=-2

Q: Apply the product rule to find the tangent line, in slope-intercept form, of y = f(x) at x = 1. f(x)…

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Q: Let х — 13 - f(x) 6x + 2 Find an equation for the tangent line to the graph of f at x = 9. Tangent…

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Q: Find all x-values where the tangent line to the graph of the function p(x)=x(2x-5)^4 will be…

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Q: Apply the product rule to find the tangent​ line, in​ slope-intercept form, of y=​f(x) at x=3.…

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Q: Let f be the function given by f (x) = 3*. For what value of x is the slope of the tangent line to…

A: Given, fx = 3x  We have to find the value of x at which the slope of the tangent line to the curve…

Q: If f(x) = 7x2 − x3, find f '(1) and use it to find an equation of the tangent line to the curve y…

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Q: 2. Given the function, find the slope of the line tangent to the curve: f(x) = v5x + 2 at the point…

A: We have to find the slope of the line tangent to the curve: f(x)=5x+2 at the point P(1,2) for the…

Q: If f(x) = 9x2 - x°, find f'(1) and use it to find an equation of the tangent line to the curve y =…

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Q: find an equation of the tangent line to the graph of the function f defined by the equation at the…

A: The equation of tangent line passing through the point x1,y1 is y-y1=mx-x1, where m is slope. The…

Q: Supposo that f CK th)-f(x)- -2h (x+2) -h? h(Xth +2)? (x+2)? Find the slope of the tangent line at…

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Q: Estimate the slope of the tangent line at the point t = -7, for f(t) = 11t-3.

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Q: For what values of x is the tangent line of the graph of f(x) = 2x + 12x? + 2x parallel to the line…

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Q: Find an equation for the tangent line to the graph of the function F(x) = V3x2 + 9 at the point (3,…

A: To find the equation of tangent of given equation.

Q: Find an equation of the tangent line to the graph of the function f(x) = 2x² - 4x +5 at the point…

A: Given, f(x)=2x2-4x+5

Q: Let f(x) = 3x^2 + x + 5. a) Find the equation of the tangent line at x = 10. b) For what value of x…

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Q: For the function, find the point(s) on the graph at which the tangent line has slope 2. 1 y=x²-3x²…

A: Given y=13x3-3x2+7x+16 & m=2To find point on the graph: Rules of differentiation: (1)…

Q: Estimate the slope of the tangent line to the graph of the following function at the point r = -6. f…

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Q: Find the values of x where the tangent line is horizontal. f(x) = x³ + 3x² – 12

A: The tangent line is horizontal when the slope is equal to 0 dy/dx = 0 y = x3+3x2-12 dy/dx = 3x2+6x…

Q: If  F(x) = 12x/(3 + x2),  find F '(3) and use it to find an equation of the tangent line to the…

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Q: Find all values of x for which the tangent line of f(x) = / x² + 18x+96 is horizontal.

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Q: at the indicated point, find the slope of the tangent to the curve c(x) = 3x^2 - 5 at (3, 22)

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Q: For the function f(x) =x2 , find the slope of the tangent line to the graph of f at the point (3, 9)…

A: For the function fx=x2, find the slope of the tangent line to the graph of f at the point (3, 9) on…

Q: Consider the function f(x) = 1/3x3 + 3/2x2 - 4x. At which point(s) is the slope of the tangent line…

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Q: Find the slope m and an equation of the tangent line to the graph of the function f at the specified…

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Q: Let f(x) : x4 Find all values of I such that the slope of the tangent line is - -4.

A: The given function is fx=1x4 and the slope of the tangent line is -4.

Q: Let f(x) = /25 - æ The slope of the tangent line to the graph of f(x) at the point (9, 4) is

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Q: If f(x) = 9x2 − x3, find f '(2) and use it to find an equation of the tangent line to the curve y =…

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Q: Find the slope and equation of the tangent line to f(r) = 3+3x at a 3 using the definition. %3D

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Q: Determine the values of p, q, and r so that the function f(x) = px° + qx² + rx will have an…

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Q: Use this formula to find the slope of the tangent line to the curve at the given x-value. f(x) =…

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Q: Use any method to find the slope of the tangent line to the graph of the function f (x) = – at the…

A: Given function is fx=1x2. To find the slope of the tangent line at x=5. Solution: The slope of the…

Q: Determine the value(s) of x where the slope of the tangent to f(x) = (x – 7)(x² – 5) is –13.

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Q: For f (x) = x 3, show that the slope of the secant line over [ -3, x] is x 2 - 3x + 9, and use this…

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Q: Estimate the slope of a line tangent to the curve f(x) = -2x2 + 3x +5 at point P(1, f(1))by doing…

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Q: Find the slope and equation of the tangent line 1. f(x)= -3+2x+x2                    (3,12)

A: f(x)=-3+2x+x2,(3,12)

Q: For the function y= In(x² – 2) , the slope of the tangent at x = 2 is

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