Find the slope and an equation of the tangent line to the graph of the function f at the specified point.   f(x)=-9/2x^2+4x+4;(-1,-9/2)

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

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Q: For the​ function, find the​ point(s) on the graph at which the tangent line has slope 5.…

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Q: Use the definition of the derivative to find the slope m of the tangent line to the graph of the…

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Q: The line whose slope is -3 is tangent to the curve y = x² + 3x + 2 at the point 0 (-3, 2) 0 (3, 2) 0…

A: We will solve the problem.

Q: find the slope of the tangent line to the graph of the following function at the given point fx…

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Q: find the slope of the tangent line f(x)=9x-2x^2 at(-3,-45)

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: The slope of the tangent line to the graph of the function y = 2x3 at the point (2, 16) is lim2"…

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

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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (1,…

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Q: The equation of the tangent line to the graph of f(x) = 2x3 − x2 at the point (-1,-3) is

A: We have to find the equation of tangent of the given graph at (-1,-3), we know that slope of the…

Q: Derivative of 12x^3-96

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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (1,…

A: We know that the equation of tangent line to the curve y=fxat a point x1,y1 and having slope m at…

Q: Find the equation of the line tangent to the given curve with the given slope. y=x^2-7x, with…

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Q: Determine an equation of the line tangent to the graph at the point (3,8)

A: We find f'(x) using the quotient rule. And plug x=3 in it to find f'(3)

Q: Find the equation of the tangent line to the graph of f(x)=-3x2-5 at the point (2,-17). Write your…

A: Given function    f(x) = -3x2-5Differentiating ,  f'(x) = ddx(-3x2-5)…

Q: Find an equation of the tangent line to the graph of the equation 6x - 5x8y7 = 36e6y at the point…

A: In this question, we will compute the equation of the tangent line of the given curve.

Q: Find the slope m of the line tangent to the graph of the function f(x) = 5 - 6x at point (-1, 11)

A: Given:  f(x)=5-6x                y=5-6xDidderentating y=5-6x   with respect to 'x'  and substituting…

Q: The tangent line to the curve y = x3 - 6x2 - 34x - 9 has slope 2 at two points on the curve. Find…

A: Given,  The tangent line to the curve y=x3-6x2-34x-9 has Slope=2 at two points on the curve.…

Q: 3rd derivative of 5x^4+6x^-4-4

A: Given the function 5x4+6x-4-4. We need to find the third derivative of the function.

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given: f'(x)=-2x8-x2,    2,7 Integrate the given function to obtain the function f(x). The formula…

Q: Find the slope of the line tangent to the graph of the function defined by f(x) = 3x2 – 4 at (1,…

A: Solution:Given        f(x)=3x2-4   at (1,-2)To find:Slope of the line tangent to the graph The…

Q: Find the equation of the tangent line to the graph of the function f(x)=x+5/x-4 at point (0,-5/4)…

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Q: find the deriVative <3x"-4x

A: Given Data: Function: fx=3x4-4x-3+1x2-5x+2x-3 The power rule of the derivative is, ddxxn=nxn-1

Q: Find the slope of the line tangent to the graph of the function defined by f(x) = x2 – 3x + 4 at…

A: It is given that, f(x)=x2-3x+4   Slope of any function or tangent of any function is defined as the…

Q: 11. What is the slope of the tangent line to the curve y = 3x2 - 5 at point (-1,-2)? а. -5 b. -6…

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Q: alculate the length of the tangent line, normal line, sub-tangent and subnormal from: a. x²+ 2² - 4x…

A: This is a problem related to derivative. Based on the general formula and concept we will answer the…

Q: The point (3, 2) is on a curve and at any point, (x, y) on the curve, the tangent line has a slope…

A: Given Slope of tangent line at (x, y) is 2x-3 and Curve passes through (3,2)

Q: Find the slope of the tangent line to the curve defined by 4x² + 5xy + 3yª = 98 at the point (-5,…

A: Given equation of the curve is 4x2+5xy+3y4=98.

Q: Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3…

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Q: Find the derivative of (x-x^4)/(7/x^2+6/x^3)

A: Formula used:

Q: derivative of 2x^2

A: Given, To evaluate 'derivative of 2x^2

Q: Find the value of the derivative of the function at the given point. f(x) = 2x2 - 3x; (- 1,5)…

A: The function is given by fx = 2x2-3x To evaluate : The value of the derivative of the function at…

Q: Find the equation of the tangent to the curve y=x2-x-2 at the point (1,-2)

A: Given equation of curve is y=x2-x-2. To find the equation of the tangent line to the given curve at…

Q: Find the second derivative of fx Fx= -4/square root x + 4x3

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Q: evaluate the derivative of the function at the given pointf(x)=-4/(2x2-3x)4 , (1,-4)

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Q: Find equations of the two tangent lines to the graph of f(x) = x2 that pass through the point (-1,…

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Q: find equations of the two tangent lines to the graph of f(x) = x^2 that pass through the point…

A: find equations of the two tangent lines to the graph of f(x) = x^2 that pass through the point…

Q: Find the slope and an equation of the tangent line to th 3 2 3. f(x) = + 8x + 8; (-1, 21 slope 11…

A: Recall: Point-slope intercept form :  y-y1 =m x-x1 where , 'm=dydx' is the slope and x1,y1 are given…

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

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Q: Find the derivative. ex - (א)h 7+א7 eX-1(7x2 - 14x + 7) (7x2 + 7,2 2-14+7א7 ex. (7x2 + 7,2 eX(7x2 -…

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Q: Find the derivative [(6x-3)(4x-5)]/(4x+3)

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Q: f(x) =/4 –x ; (-5,3)

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Q: Find the derivative. 4- 3 y 3 5x 4x+3x2 20x2-15x2 -7 5x O4x3+ 3x2-7 ,家 4x²+3x2 20x-15x4

A: Option D is correct.

Q: line has a slope of f ' ( x ) = 7x -10 / 11 given that

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Q: Find equations of the two tangent lines to the graph of f(x): x2 that pass through the point (-1,…

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Q: derivative of 2x^5+5x^3+6=

A: We have to find the derivative of the given function.

Q: Find the slope of the curve y² = 3x + 1 at the point (- ,0). Draw the graph of the curve.

A: y2=3x+1 Differentiating with respect to x, we get 2y·dydx=31+0⇒2y·dydx=3⇒dydx=32y Now slope of the…

Q: The equation of the tangent line to the curve X2+y2=169 at the point (5,-12) is

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Q: Find the slope of the tangent line to the curve defined by 3x^3 - 7xy - 7y^6 = -1599 at the point…

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Q: Find the equation of the line that is tangent to the graph of y= x^3 +4/x^2 at point (2,9)

A: The equation of tangent line to y=f(x) at (x0,y0) is y-y0=f'(x0)(x-x0)