Consider the function f(x) = x ² + 3. Part 1: Compute the slope of the the tangent line to y = x2 + 3 at the point (3, 12) using f(3 + h) – f(3) lim h→0 m = h

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

A:

Q: = x-location(s) of any horizontal tangents to the graph of f(x)= %3D

A: x=-12

Q: x3-x2-9x+9.  Find the pos

A: Given function:  h(x) = x3-x2-9x+9   slope of tangent line : m= h'xm = ddxx3-x2-9x+9m =3x2-2x-91+0m…

Q: Let f(x) = x². Find the first coordinate of the intersection point of the two tangent lines of f at…

A: To find: The first coordinate of the intersection point of the two tangent lines of  at -2 and 7.

Q: 2. The velocity of an object is v(t) = 40 – t² ,0 <t< 6,where v(t) is measured in meters per second…

A:

Q: Let f(x) = 2x² 11a + 4 - The slope of the tangent line to the graph of f(x) at the point (2, 10) is…

A: This is a problem related to derivative of the function. Please follow the procedure given below.

Q: 5. Determine the slope of the tangent at point (1,5) on the graph of f(x) = (9 – x²)} + 1.

A:

Q: 3. Find the slope of the curve of the function y = at the point P (2,-).

A:

Q: Let f(x) : x4 Find all values of I such that the slope of the tangent line is - -4.

A: The given function is fx=1x4 and the slope of the tangent line is -4.

Q: Find the equation of the tangent to the curve y=√x at the point (1,1) (Figure 4).

A: