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: 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: Find an equation of the tangent line to y = xt + 2x2 – x at x = 2

A:

Q: Calculate the derivative at the point (0,0) of the function given by the equation x5+y5−2x+2y=0.

A:

Q: Find the derivative of y with respect to x if y = (11x2 - 22x+ 22) ex.

A:

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 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 an equation of the tangent line to the curve at the  given point. y = ln(x2 - 3x + 1), (3, 0)

A: Given: y=ln(x2-3x+1), (3, 0)

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

A:

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

A:

Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (5, ln(25)).

A: Given:

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: 4. Find the equation of the tangent line to the function y= In(x* -2) when x=3.

A:

Q: Find the slope intercept equation of the tangent line to the graph of y = Vx-1 at x2+1 the point…

A:

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: y = 16 X + x² at x at x = 4.

A: Given Equation :- y=16x+x2  Find the equation for the tangent line to the curve at x=4

Q: Find the tangent equation to the curve y = sin² x at point x = 3.

A:

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

A:

Q: Find an equation of the tangent line to the curve y Inx" – x² at the point where x = 1.

A: The given curve is y=lnxx-x2 at the point where x=1. Find the equation of tangent.

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.

A:

Q: Find an equation for the tangent line y= 4x-sinx when x=0

A: y=m(x) +c where m is slope and c is Y-intercept.

Q: The slope of the tangent line to the curve x^3 + y^3 = 6xy at the point (3,3) is

A:

Q: (a) Find the equation of the tangent line to the curve y = 2lnx at x = 5.

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

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 equation of the tangent line to the graph of j f (x) =- -5e2* at the point (0, -5).

A:

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

A:

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

A:

Q: Find the equation of the tangent line to the curve y=x4 at the point (−1,1).

A:

Q: Find the equation for the tangent line to the curve y = 25 X + x² at x = 5.

A: Equation of tangent line to a curve y=f(x)  at x=a is given by y-f(a)=f'(a)(x-a)

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

A:

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

A:

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 line tangent to the graph of y = (x2 - x) ln (8x) at x = 2

A: Topic = Derivative

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

A:

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

A: The equation of the curve is given by y = 2x-x2 The point is x0, y0 = 2, 0 Formula Used: The formula…

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. Find an equation of the tangent line to the curve x – 1 | at the point (3, 2). ||

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Find the equation of the tangent line to the function y = sec'x at the point :2 4-

A:

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

A: Topic = Derivative

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

A:

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

A: Differentiating with respect to x, we get

Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (3, ln(9)). y=_____

A:

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

A:

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

A:

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

A: