Let f(x) = x² - 6x + 5.
Find the values of x for which the slope of the curve y = f(x) is 2.

{Use of Tech} Equations of tangent lines

Find an equation of the line tangent to the given curve at a.

y = −3x² + 2; a=1

{Use of Tech} Equations of tangent lines

Find an equation of the line tangent to the given curve at a.

y = e^x; a = ln 3

Let f(x) = x² - 6x + 5.

Find the values of x for which the slope of the curve y = f(x) is 0.

Given that f'(3) = 6 and g'(3) = -2 find (f+g)'(3).

Let f(x) = 4√x - x.

Find all points on the graph of f at which the tangent line is horizontal.

Let f(x) = 4√x - x.

Find all points on the graph of f at which the tangent line has slope -1/2.

Suppose f(3) = 1 and f′(3) = 4. Let g(x) = x² + f(x) and h(x) = 3f(x).

Find an equation of the line tangent to y = g(x) at x = 3.

Suppose f(3) = 1 and f′(3) = 4. Let g(x) = x² + f(x) and h(x) = 3f(x).

Find an equation of the line tangent to y = h(x) at x = 3.