3. Use the limit definition of the derivative to find the equation of the tangent line to the curve y = x -3x+1 at x = 2. Give your answer in slope intercept form.

Q: Write an equation of the tangent line to ƒ(x) = 7x² – 3x at x = - 1. Equation:

A: Given,

Q: Find the derivative by use of definition y = 3x / sqrt 2x + 1 Please answer asap

A:

Q: Determine the equation of the line tangent to the curve y = 3| : 3(x+4)² y = at the point (6,75).

A:

Q: Find an equation for the tangent line to y = g(x) at the point (2, g(2)). Write your result in…

A: From graph we have g(2)=4 and therefore we compute the tangent of the graph y=g(x) at the point…

Q: Explain how to write an equation of the tangent line to the graph of f(x) = x2 at (2, 4).

A:

Q: 4. Find the slope of the tangent line to the graph f(x) = 3x² +4 at the point (2, 16) and determine…

A:

Q: Find an equation for the line that is tangent to the curve y=x3 −9x at the point (3,0).

A: Given: The given curve is y=x3-9x and the point 3,0. To find: The main aim is to find the equation…

Q: 7. Find the equation of the tangent line to the curve y = - 1-3x at x =-1 using calculus and…

A: Given curve is y=21-3x At x=-1, y=21-3·-1=21+3=24=12 So, the point is -1,12

Q: 6. Sketch the graph of y= x2+ by using the properties of the derivative.

A: The given function y=x2+2x

Q: y = 4x4+(3+51)x3+5x2-(100+1)x-400. What is the slope of the tangent on this curve at x=2.5?

A: Slope of the tangent to the curve y=fx at x=x0  Differentiate equation of curve with respect to x…

Q: The derivative is the slope of the tangent line at any point. Find the equation of the tangent line…

A:

Q: Find the equation of the tangent line to the curve y = (1 + 2x)? at the point (4, 81). y =

A:

Q: Find the slope of the tangent to the curve y = x² - 2x + 3. Also find the equation of this tangent.

A: Solution

Q: Find the equation of the tangent line to the curve y = (1 + 2x)² at the point (4, 81). ソ=

A: First find the slope of the tangent line with the help of derivative of the given curve than write…

Q: Find the derivative using the definition of the equation.

A: