For fx) = 2x -8x 5 find the following (A) I'(x) (B) The slope of the graph of f at x = -2 (C) The equation of the tangent line at x= -2 (D) The value(s) of x where the tangent line is horizontal

Q: Find the derivative of

A: Given function is: y=x-1x2-2xx4⇒y=xx-1x-2x4⇒y=x2-3x+2x3 We have to find the derivative of y with…

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: 3) y=(7x² – 2x + 3)

A: Derivative,

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

A:

Q: Determine the equation of the slope of the line tangent to y = tan(x) using the 4-step rule.

A:

Q: y(x^2 y^2 - m)dx + x(x^2 y^2 + n) dy = 0

A: yx2y2-mdx+xx2y2+ndy=0Let M=yx2y2-m∂M∂y=y·2x2y+x2y2-m        =3x2y2-mLet N=xx2y2+n∂N∂x=3x2y2+nNow,…

Q: where x = 6.

A:

Q: Find second derivative  x⅓+y⅓=a⅓

A: Given,    x13 +y13 =a13

Q: Find an equation for the line tangent to the graph of f(x) = -6xe" at the point (a, f(a)) for a = 2.

A:

Q: The second derivative OF a certain function is 4X, the equation of the curve if its slope is -3/4…

A: To find the equation of the curve with the given characteristics

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 line tangent to the graph of 3 f(x) = -4x² + 6x at x = -1

A: f(x)=−4x3+6x at x=−1

Q: Find the derivative of the function f(x) = 2x3 – 3x by using the definition of the derivative.

A: By using the definition of derivative of a function, we differentiate the given polynomial as in…

Q: y = V3x +7ex

A:

Q: Find the slope of the tangent to the curve y=2/(8-5x) at x1=6.

A: Calculate the differentiation:-