Suppose that f is a function such that f(3 + h) – f(3) = 3h? + 4h. Calculate f' (3). (Give your answer as a whole or exact number.) f' (3) = Calculate the slope of the secant line through (3, f(3)) and (5, f(5)). (Give your answer as a whole or exact number.) m =

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A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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A: Topic - tangent lines to curve passing through Given point outside curve

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A: Topic - equation and slope of tangent line to curve

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A: Topic:- Derivative

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A: Given: fx=x2-3x+1 To Find: The slope of the tangent line to the graph of the given function at the…

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A: equation of the curve  is given below...

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Q: Obtain the tangent line of the function y= 2x^2 + 3x + 2 at the point (1,7

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A: To determine the slope of the tangent at the point (2, -3).

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Q: 3. Find the slope of the line tangent to f(x) = In(4x² – 3) at (1,1).

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Q: Compute for the interval [2, 7], where y = 3x - 3. Ay Ax Ду Дх What is the slope of the tangent line…

A: we have y= 3x-3at x=2y=3×2-3 =3at x=7y=3×7-3 =18so,∆y∆x = change in y over the intervalchange in x…

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A: As we know that; The expression for the gradient or slope; m=dydx And The Power law; ddxxn=nxn-1

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Q: 3. х %3D у* — 2у3 2y3

A: We can find the answer as below using delta method

Q: What is the slope of the tangent line to the graph of x2-xy-4y2+2x+4y=8 at (4,-2)?

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Q: 2. Find the curve that passes through the point (1, 3) and whose tangent line at (x, y) has slope

A: Solve for the curve

Q: What is the slope of the tangent line to the curve 3y- 2-6-2xy at the point (3, 2)?

A: Given,           3y2-2x2=6-2xy     To find slope, let's differentiate. wrt.x           3.2y…