Find the equation of the tangent line to the curve y = x^2 + sqrt(x) at a = 1.

Q: Section 2.4 Chain Rule Please show & explain all work, thank you.

A: Multiply both sides by x^2.

Q: Find the tangent line approximation for √1 + x near x = 5. y = |

A: Given 1+x

Q: canx at point (π, π)

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Q: What is the slope of the line tangent to the graph of y=tan 1(-2x) at x = 2? The slope of the…

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Q: .What is the slope of the tangent line to the curve y = -4x3 + 3x – 5 at the point (1, –6)?-

A: Our Aim is to tell the slope of the tangent line to the curve y=-4x3+3x-5 -(i) at the point (1,-6).

Q: Find the tangent line approximation for √1+ x near x = 5. y = ||

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Q: What is the slope of the tangent line to y = 4x at x = 0?

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Q: Find equation of tangent y=x³-4x+1 at point (2,1)

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Q: What is the slope of the tangent line to the graph of y=x+1/x at x=2? What is the y-intercept of…

A: According to power rule of differentiation, .

Q: The slope of the tangent line to the curve y=2eUXcos(-6x) at x-0 is

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Q: Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2 x2 + 3x using First…

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Q: Find the slope of the tangent line to the curve 4x2 + 2xy - 2y³ = 160 at the point (4, - 4). -

A: We have to find slope of tangent line to the curve  at the point (4, -4) that is dy/dx at (4, -4)

Q: Find an equation of the tangent line to the curve y 9tanx at the point %3D

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Q: What is the slope of the tangent line to the curve y = 2sin 4x at x = 4

A: Given, The curve  y = 2sin4x   We have to find the slope of the tangent line to the curve at x = π4.…

Q: Find the equation of the tangent line to the curve f(x)=x9 ln(x2) at x = e. (Do not approximate)

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Q: Find the equation of the tangent line to the curve y=csc(x) at x=pie/4

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Q: Find the slope of the tangent line at given point 2x2 - 3y = x at (1.5,1)

A: First derivative of the equation curve give slope of tangent line to the curve.

Q: Find the equation of tangent line to the curve y=ln(2x+3) at x=2

A: y=ln2x+3 at x=2. Differentiating with respect to x, we get dydx=12x+3·d2x+3dx=12x+3·21+0=22x+3 Now…

Q: Find the equation of the tangent line to the function y = xsin x when x = 6.

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Q: Find the slope of the tangent line to the curve x3 + y3 = 4xy at the point (2, 2). Use implicit…

A: According to question given that  We have to calculate the slope of the tangent line to the curve…

Q: find the equation of the tangent line to the graph of f(x) = x^3 + 3x^2 at the point (1, 4) without…

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Q: Find the equation of the tangent line to the curve y = 3x2 – x at the point (1,2). y =

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Q: 4 at the point ( 6, The slope of the tangent line to the curve y is: 3 |

A: The  Slope of the tangent line is = -(1/9)

Q: 3. Find an equation of the tangent line to the curve at x=4 y=(sqrt(x)) / (x+6)

A: Given equation of the curve y = xx+6  ...............(1) Let the equation of the tangent at (x1, y1)…

Q: Find the slope of the tangent line to the curve 4x + lay- ly = 88 at the point (3, - 4).

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Q: What is the slope of the tangent line to the curve y= -sin 3x at x=

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

A: To Determine: Find an equation of the tangent line to the curve at thegiven point.…

Q: Determine the equation of the tangent line to the curve f(x) = 2sinx + sin²x at the point (E)

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Q: What is the equation of the tangent line to the function y=x²-1 at a point (2,3)?

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Q: Find the slope of the tangent line to the curve x – 4xy + y° = - 23 at the point (- 3, – 2).

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Q: Find the equation of tangent line of function ²+ arctan y = y-1 at point(-t, 1).

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Q: Find the equation of the tangent line (in point-slope form) to . 2 f(x) = 3 – 2x' + In(5x + e) at x…

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Q: Find the slope of the tangent line to the curve - 2x² - 2xy - 1y³: 1y³ = - 11 at the point (-2,-1).

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Q: What is the slope of the tangent line to the graph of y= x + cosxy at the point (0,1)?

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Q: Describe the tangent line at an arbitrary point on the “curve” y = 2x + 8.

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Q: Estimate the slope of the tangent line at the point indicated. f(x) = tanx; x = 0

A: Slope of the tangent line is the derivative of the given function at the given point.

Q: Find the slope of the tangent line to the curve f(x) = at the point where x = 9. %3D

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Q: Find the equation of the tangent line on the function f(x) = arctan (x²) at the point (1,).

A: We can find the equation of tangent line to the curve as below.

Q: Find the equation of tangent line to the curve f(x) = x² at x = 3.

A: Topic = Derivative

Q: What is the slope of the tangent line at (0,3) to the function f(x) = -sinx+3

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Q: Find the point where the tangent line to y = 5x at x = 0.5 crosses the x-axis.

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Q: What is the slope of the tangent line to the graph of y = x^2 + 1 at the point (0, 1)?

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Q: Find the slope of the tangent line to the curve y=4x^3-x at x=1. What is the equation of the line…

A: Given: The equation of a curve is y=4x3-x . The slope of the tangent to the curve at the point x=1…

Q: What is the slope of the tangent line to the curve y = at the point (3,)?

A: What is the slope of the tangent line to the curve y=1x at a point 3, 13 ?

Q: Find the slope of the tangent line to the curve given by y^4 = y^2 - x^2 at the point (0,1)

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Q: Find the equation of the tangent line to the curve y = 2 In(x³ – 26) at the point (3, 0). y =

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Q: Find an equation of the tangent line to the curve x2/3 + y2/3 point (1,8). 5 at the

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Q: What is the equation of the tangent line to the curve defined by the given function at the point…

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Q: Determine the slope of the tangent line to the curve y=2 – x2 at the point (3,-7)

A: slope of tangent = slope of given curve  step 1  we have to find slope of curve  slope = dy/dx  so…