a. Find the derivative. p Find the derivive b. Find equation of the tangent line at the point (2, 5). c. Find the point(s) on the graph where slope is -

Q: y = 3x?+1 ; (0,1)

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A: To find the tangent line to the curve y=6xx2+1 at origin and at (-1,-3).

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A: Slope of the tangent line , m=dydx du.vdx = u.dvdx +dudx.v dxndx=n.xn-1

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A: The given function is:y=34

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Q: Consider the following curve. x + 2 y X - 4 Find the slope m of the tangent line at the point (3,…

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A: Given, A curve y=x12  and a point P(4,2) (a). To find the slope of the curve a the point P (b). To…

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A: Find a.) the slope of the curve at the given point P We have given the curve y=x2 – 5 and a point…

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Q: find y' and the slope of the tangent line to the graph of the equation below at the indicated point…

A: The equation of the curve is given by 32+y2 -x3+2 = 0                    .......(1) To evaluate :…

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Q: 3. At what point(s) is 9 the slope of the tangent line to the curve y=xr' - 3x'.

A: Given: Curve y=x3-3x2 Slope is 9 The slope of the tangent to the curve is given by dydx.

Q: Consider the following curve. y = V8 - 17x Find the slope m of the tangent line at the point (-1,…

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Q: Find the equation of the tangent line to the curve y= (x-3)°(x+2) at the point (4,36).

A: Given,  The curve   y = x-38x+22   We have to find the equation of the tangent line to the curve at…

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A: The given function is y=x2-4x and the point is 1,-3

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A: Note: As per our company guidelines we are supposed to answer the first question only. Kidnly ask…

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A: We know that equation of tangent line is given as - ( y - y1 ) = m ( x - x1 ) . Here 'm' is slope of…

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A: To determine the slope and equation of tangent line to the graph.

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Please see the explanation below

Q: By definition find the equation of the tangent line to the graph of y = (0, -2) at the point X-6

A: in this question, first we will find the slope of the line at given point and then find the equation…

Q: Consider the following curve. y = 3x2 13x + 1 Find the slope m of the tangent line at the point (5,…

A: We have to find tangent line

Q: (a) Find an equation of the tangent line to the curve y = 14/(1 + e*) at the point (0, 7).

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

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A: Topic = Coordinate geometry Correct option = D

Q: Consider the following curve. x + 3 y x - 5 Find the slope m of the tangent line at the point (4,…

A: Using U/V formula for calculating dy/dx.

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Q: Use implicit differentiation to find an equation for the tangent line to the curve at the given…

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Q: Find the equation of the curve at every point of which the tangent line has a slope of e^x

A: Topic:- application of integration

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Q: Find an equation of the tangent line to the curve at the given point. y = 2ex + x, (0, 2) y 11

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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: Find the equation of the tangent line to the curve y = (1+2x)² at the point (3, 49).

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Q: 4. 4. () = a北

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Q: Find an equation of the tangent line to the graph of ​f(x)=ex​, where x=−0.3.   The equation of the…

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Q: Find an equation of the tangent line to the graph of the function                    y = esinh x, at…

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

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Q: Find an equation of the tangent line to the function y = at the point; 0 P(2). (6) P(4)-

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Q: Find an equation for the tangent line to the curve at a given point g(x)= 4 divided x+3 ; P(-5,10)

A: gx=4x+3P-5,10

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: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: The given equation is x2+y2=2x2+2y2-x2,0,12. Differentiate with respect to x,…

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 (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given: y=7-x Differentiate given equation with respect to x we get, dydx=-127-x Now at the point…

Q: Find an equation of the tangent line to the graph of y = e¯x- at the point ( 5, 25

A: given: y=e-x2; 5,1e25 we know that for finding equation of tangent at point5,1e25, we need to find…

Q: Find an equation of the tangent line to the graph of the function at the given point. h(x) = -xe…

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