If  f(x) = 7x2 − x3,  find f '(1) and use it to find an equation of the tangent line to the curve  y = 7x2 − x3  at the point (1, 6).

Q: 2. Find the slope of the tangent line to the curve y = x3 – 2x + 1 at x = 1.

A: As we know that: The first derivative of the function at a point is equal to the slope of the…

Q: Find the equation of the tangent line to the curve y = 8 ln(x – 63) at the point (4,0). y =

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Q: Find an equation of the tangent line at the point indicated. y = ln(sinx),      x = π /4

A: The equation of a tangent line can be calculated using the slope point form of the equation of line.…

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

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Q: Find the equation of the tangent line at the given value of x on the curve. y° +xy² -61=x+3y°; x:…

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Q: Find the equation of the tangent line to the curve y = x Vx +5 at the point (2,6).

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Q: 3. Determine the slope of the tangent line to the curve f(x) = at (2x + 1)2 x = 1 by using the…

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Q: Find equation of the tangent line to the curve y = v2x + 1 at the point (4,3).

A: Given:    y = √(2x+1)  Point (4,3)

Q: π Find the equation of the tangent line to the curve y= Jx² –sin-(4x) at x =-. 4

A: We are given the equation, y=x2-sin24x at x=π4. Here,           dydx=x2-sin24x'…

Q: Find the equation of the tangent line to the curve f(x)= x2 +5x when x=1.

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Q: 2 Find the equation of the tangent line to the curve y =xNx +5 at the point (2,6)

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Q: Find the point where the tangent line to y=x2 at x=0.4 crosses the x-axis. x-intercept =

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Q: 2. Use implicit differentiation to find an equation of the tangent line to the curve z2+2ry-y²+x = 2…

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Q: Find the equation of the tangent line at the given value of x on the curve. y3 + xy? - 3 = x + 5y²;…

A: Calculate y at x =5.

Q: Find an equation of the tangent line to the curve at thegiven point  y = ln ( x 2- 3x + 1 )       ,…

A: Given,y = ln (x2-3x+1)slope of tangent line is equal to the first derivative of curve at given point

Q: Find the slope of the tangent line to the curve defined by 4x + xy – y* 1760 at the point (8, –4). e…

A: To find the slope of the tangent line to the given curve at the given point

Q: Find the slope of the line tangent to the curve x + sin(y-π) = 2x3 + ey at thr point (-1,0).

A: Find dy/dx

Q: Determine the equation of the tangent line to the curve y = f2 (x) at x = −2con

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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: What is the equation of the tangent line at 3x+1 (0₁²) of f(x)= ³x + 1 0, 2 X-2

A: Diffrentiation of f(x) is done using product rule diffrentiation.…

Q: Determine the equation of the tangent line to the function y = 2 + xe³x + x when x is equal to 0.

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Q: Find the equation of the tangent line to y=5x2  at x=0

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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 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 at the given value of x on the curve. 2y (x-4) +x/y = 8; x=4 y…

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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 equation of the tangent line to y = 2r5 - 3x³ at the point where x = 0.7, with coefficients…

A: Methods to find the equation of the tangent at a point helps to find the required answer to the…

Q: Find the equation of tangent line to the curve at the given point x2 + 2xy - y2 + x = 2 (1, 2)

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Q: Find the slope of the tangent line at the indicated point * y = Vx2 – 2x at x = 3

A: Here, y=x2-2x So, the slope of the tangent at x=3 is: dydxx=3

Q: Find the equation of a tangent line to the curve y=xe2x at the point where x=1

A: We need to find the equation of a tangent line to the curve y=xe2x at the point where x=1. Now,…

Q: Find the equation of the tangent line on the curve f(x) = V5x + 6 at x = 2.

A: Proceed as shown below...

Q: Find the equation of the tangent line at the given point on the curve. 109y2e 327x/10. (10,3) , 3x2…

A: Given,

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).

A:

Q: Find the slope of the line tangent to the curve y = sin' x at the point where x-x/3

A: We have to find the slope

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

A: Follow the procedure given below.

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: 2/ Find the equation of the tangent line at (0,0) to fex) = xex хе 2 -X

A: Given f(x)=xe-x2y=xe-x2Differentiate…

Q: Find an equation of the tangent line to y = 5 sin(x) at x 4

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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 tangent line to the curve f(x) = x² at x = 3.

A: Topic = Derivative

Q: The slope of the tangent line to the curve y=2e10xcos(-6x) at x-0 is

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Q: 3. Find the equation of the tangent line to f(x) = 2x · sin (x) at the point (5, ).

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Q: find the slope to the tangent line x^2e^4x at the point (-1,e^-4)

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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 for the tangent line to the curve y = 2/x at the point (2, 1) on this curve.

A: Given, Equation of curve : y=2x      (i) Common point = (2,1)

Q: 4) Determine the equation of the tangent line to y=3x -5x² +10 at x= 1

A: The given equation is; y = 3x4 - 5x2 + 10  at x = 1