Find an equation of the tangent line to the graph of f(x) =2- 5x at (2, – 18). The equation of the tangent line to the graph of f(x) = 2- 5x at (2, - 18) is y =D.

Q: find y' and the slope of the tangent line to the graph of  (3x - 2y)^7 = 2y^2 - 9 at the point…

A: The given equation is- 3x-2y7=2y2-9 Since, y' =dydx is the slope of the tangent line, Then…

Q: Find the equation of the tangent line to the curve at a given point  y=x3-3x+1 (3, 19)

A: Given,

Q: 3. Find the equation of the tangent line to the graph of x²y? + 9xy = 162 at the point (-3, 6).

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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: If f(x) = 3x 2 − 5x, find f' (2) and use it to find an equation of the tangent line to the curve y =…

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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: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x? –…

A: Given:    y=4-x2-ln12x+1 at (0,4)   We are given that x0=0   The value of function at given point…

Q: Find an equation of the tangent line to the curve at the given point y = 4x2 – x, (1, 3)

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

A: Given curve , y=fx=7x2-x3∴ Derivative of fx is                        f'x=ddx7x2-x3…

Q: Find an equation of the tangent line to the graph of the equation at the given point. y = 9-x2; P…

A: Solve for the equation of the tangent line

Q: If f(x) = 9x2 − x3, find f '(1) and use it to find an equation of the tangent line to the curve y =…

A: Given  fx =9x2-x3  Differential both sides w.r.t x and using ddxxn=nxn-1

Q: Find an equation for the tangent to the curve at the given point. f (x) = 6/¤ – x +1, (36, 1) -

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Q: If f(x) = 9x^2 - x^3, find f'(1) and use it to find an equation of the tangent line to the curve y =…

A: Consider the given curve fx=9x2-x3

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: 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: y=x²-2xe*+2le

A: Given: y=x2ex-2xex+2ex &  Px,y=1,e  As we know that; The slope of the tangent line to the curve…

Q: Find the slope of a line tangent to the curve of the given equation at the given point. y = x2 - 3;…

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Q: Find h'(-2) if h =fog, f(x) = 6x² - 1 and the equation of the tangent line of g at -2 is y = -2x +…

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Q: Find the equation of the tangent line to the graph of x^2 * y^2 + 6xy =1512 at the point (-7,6)

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Q: Find an equation of the tangent line to the graph of y = x³ – 3x – 1 at the point (2, 1). 09x - 2y -…

A: 1.y=x3-3x-1 at the point (2,1)2.y=logx2e

Q: II. Find an equation of the tangent line to the curve of f(x) =-2x' +6x+1 when x 23

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Q: Find an equation of the tangent line to the curve at the given point

A: We have given the curve y = x5 + 3e5 and the point (0, 3). Find the slope at x = 0. Therefore, we…

Q: For x/y + 5x - 7 = (-3/4)y, (1,2), find the equation of the tangent line to the graph of the given…

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Q: Find an equation of the tangent line to the curve at the given point. x2 (4, 16) y

A: Given ex2-y=x2y To find equation of tangent at the point 4,16

Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the…

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Q: Find an equation of the tangent line to the curve at the given point y = x³ – 3x + 1, (2,3)

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Q: Find an equation of the tangent line to the function y 2x at the point P(1, 2).

A: We need to find the equation of tangent line to the function y=2x2 at point P(1,2)   We know that…

Q: Find an equation for the line tangent to the graph of f(x)=−2xe^x at the point (a,f(a)) for a=2.…

A: Find the derivative for f (x). Find f’(x) at x = 2.

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

A:

Q: Find an equation of the tangent line to the graph of the equation at the given point: f(x) = 3x2 +…

A: Tangent line  -  slope of tangent line will be equal to differentiation at that point.

Q: If f(x) = 5x2 − x3,find f ' (1) and use it to find an equation of the tangent line to the curve y =…

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Q: Find the equation of the tangent line to the graph of function at the given point. Y = 5+ 1n(1-4x) ;…

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Q: Find an equation of the tangent line to the graph of f(x)=ex​, where x=3.4.   The equation of the…

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Q: B - Find the point on the curve y = x3 + x2- 1 where the tangent parallel to the x- axis.

A: Topic- slope of tangent and application of derivatives

Q: Find the equation of the tangent line to the curve f(x): at the given point (-5,5) x+4

A: The given problem is to find the tangent line to the curve f(x)=x/(x+4) at the given point (-5,5).…

Q: find the equation of the tangent lines to the curve y=2/(1-3X) at the points with x-coordinates 0…

A: Find the y- values for the given values of x.

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:

Q: Find an equation of the tangent line to the curve at the given point. y = √ x,  (81, 9)

A: Given: y=x, (81, 9)

Q: If f(x) = 9x2 – x³, find f'(1) and use it to find an equation of the tangent line to the curve y =…

A:

Q: If f(x) = 9x^2 - x^3, find f’(2) and use it it find an equation of the tangent line to the curve y =…

A: Givenf(x)=9x2-x3

Q: Find an equation of the tangent line to the graph of  y = x(x + 2)4  at the point (1, 81).

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Q: Find an equation of the tangent line to the curve at the given point. y = x3 – 2x + 1, (4, 57)

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Q: Find an equation of the tangent line to the curve at the given point. y = x3 - 2x + 1, (3,22)

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 5x−2, (2,…

A: Find an equation of the tangent line to the graph of the function at the given point. y = 5x−2, (2,…

Q: Find an equation of the tangent line to the graph of y = x³ 3x - 1 at the point (2, 1). - 09x+y+17 =…

A: We can solve this as follows:

Q: Find the equation of the tangent line to y=(3x+4)3 at the point where x= -2

A: here given y= (3x+4)3 slope  of the tangent line is y'    Here y' = 9(3x+4)²   Value of y at x=-2 is…

Q: Find an equation of the tangent line to the graph of f at the given point. y = x3 - 3x + 1, (3, 19)…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = (x2 - 1)/(x2 + x + 1')…

A: Given:         y=(x2−1)(x2+x+1)   for (1,0).

Q: find an equation for the line tangent to given curve at the given value of x. y=x-x2 ;x=-2

A: