Let b(x)=h' (x), find the tangent line to b(x) when x = 6 .

Q: Find the equation of the tangent line to the curve f(x)= at the point (1, 1+x² -).

A: The equation of the tangent line: - The formula y – y1 = m (x – x1) can be used to find the equation…

Q: Find the gradient of the tangent line to y when x = 2.

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Q: 1. Find the equation of the tangent line to x2- 3xy +y2 = -1 at (2,1).

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the slope of the tangent line to the curve - 2x2 + 3xy + ly 38 - at the point (1, – 3).

A: Given:   To determine: Slope of the tangent line to the given curve at point (1, -3)

Q: Find the slope of the tangent line to the curve of y = x 2 at the point where x = −6

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

Q: Find the equation of the tangent line to f(x) =1 – x² at (1,0). -

A: here we use formula  y-y1=m(x-x1) at point (1,0)

Q: The slope of the tangent line to the graph of x2 – y? = ln(xy) at the point (1, 1) is

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Q: Find the slope of the tangent line to the curve x4+6xy+y2=17 at (1,2).

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Q: Find the point where the tangent line to y = x* at x 0.3 crosses the x-axis. x-intercept =

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Q: Find the slope of the tangent line to the curve 3x? – 4xy – ly3 : - 84 | at the point (2, 4).

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Q: What is the equation of the tangent line to the curve y= In(x“ + 1) at x=1?

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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 slope of the tangent line to the curve y3 + yx2 + x2 − 3y2 = 0 at the point P(0, 3) by…

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Q: Find the equation of the tangent and normal lines of f (x) = x* + 2x at x = -1.

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Q: Find the equation of the tangent line and normal line to the curve: 2. x2 + 2xy = y3 at the point…

A: Firstly, we find  dy/dx by differentiating both sides with respect to x

Q: Show that the tangent lines to the curve y = (π sin x)/x at x = π and x = -π intersect at right…

A: The equation of the curve is y=πsinxx

Q: Find the gradient of the tangent line to y when x =- 1

A: The explanation of answer as follows

Q: Find the tangent line to f(x) = ax³ at x = -1. Assume that a is a positive constant. ***

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Q: Find the slope of the tangent to the curve y= 2 sin'x at x-

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Q: Determine the equation of the tangent line to the curve x- 2xy = 2y² +1 at the point (1:0).

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Q: Find the point where the tangent line to y = x² at x 0.7 crosses the x-axis.

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Q: Find the equation of the tangent line of f(x)=x−(1/x) at x =1.

A: Given function is fx=x-1x Above function can be written as y=x-1x. At x=1, y=1-11=1-1=0 So, given…

Q: The Tangent Line to a y= f(x) at x = c has slope ?

A: Recall the below fact:

Q: Find an equation of the tangent line at the point indicated: f(x) = ln(x²), x = 4.

A: NOTE: Refresh your page if you can't see any equations. . here we have x=4 so the point on the…

Q: Determine the slope of the tangent line to the curve y= In x^2 at x = e^2

A: The given curve is

Q: Find the slope of the tangent line to the curve - 2x2 + 2xy – 4y³ = 0 at the point (1, – 1). -

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Q: Find an equation for the tangent line Y= 4x-since when x=0

A: To find the equation of tangent  line

Q: Find the equation of the tangent line to the curve y = 2x - x2 at (2, 0).

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Q: Find the equation of the tangent line of f (x)= x² In x at x=1.

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

A: The given function is x2+xy-y3=23 The point is x0,y0=-3,-2

Q: f(x) = ln(x − 1) at x = 2

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Q: 4. Determine the equation of the tangent line to y = x²sin2x, at x = - R

A: Follow the procedure given below.

Q: Determine the equation of the tangent line to f(x) = sin(x) at x = π/3

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Q: Determine the equation of the tangent line to f(x) = ln(x-2) at x=4.

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Q: ) Find the equation of the tangent and normal lines of f (x) = x* + 2x at x = -1.

A: Given:

Q: Find the equation of the tangent line to the curve at point (0, ln 2).   y=ln(e^x+e^4x)

A: the equation of the given curve is: y=lnex+e4x we have to find the equation of the tangent line to…

Q: Find the equation of a tangent line to the curve y = x e2x at the point where x=1

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Q: Find the equation of the tangent line with values g(x)= squareroot x and f(x)= x2

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Q: Find the equation of the tangent line at the point (1,0) to the curve implicitly defined by In(x +…

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Q: Find the tangent line to y = √(x2 - x + 7) at x = 2.

A: Differentiating with respect to x, we get

Q: Find the slope of the tangent line to the curve 2x² 4xy + 4y³ = 10 at the point ( − 1, 1).

A: SOLUTION-

Q: Find the equation of the tangent line at the given value of x on the curve. 2y° + xy - y = 16x*; x=1…

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Q: Find an equation of the tangent line to y = f(x) arctan(x) at = V3. x =

A: We have to find equation of tangent line

Q: Find a formula for the tangent line for y = sin(x) cos(x) at x = 4 -

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Q: Find the equation of the tangent line to the graph f (x) = x^3 ln x at the point (1, 0)

A: Tangent line equation.

Q: Determine the equation of the tangent line to f(x) = x3 - x, at x = 1

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Q: The slope of the tangent line to the curve 2xy + T cos y = 2n at point (1,“) is:

A: The given equation is 2xy+π cos y=2π and the point is 1, π2. Evaluate the slope  y' using implicit…

Q: Calculate the equation of the tangent line to the curve x^2+xy+3x+2y-1=1 at the point (0,1)

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Q: Determine the equation of the tangent line to g(x) = sin(6x) at x = A.

A: Given ,  g(x) = sin(6x) at x = π  We have to find the equation of the tangent line  g(π) = sin(6π) =…