All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the surface area changing when each edge is 2 centimeters? Use the limit definition of a derivative to find f'(x) if f(x)= 1/(x-2).

Q: Find the ABSOLUTE VALUE of the gradients of the tangents drawn to the ellipse x^2/4+y^2/93D2 at the…

A: We have to find absolute value of gradient at x=2 for the given function.

Q: Find the equation(s) of the tangent line(s) from xy^2-y-2=0 at x=1 (Use implicit differentation)

A: Put x= 1 to find the values of y and then find the equations of tangent.

Q: Find the equation of the tangent line to f(x)=−2x−4x^−1/2+3 at the point (4,−7).

A:

Q: if f(x)=6x^2 - 4x, find f'(2) and use it to find the equation of the tangent line to the parabola…

A:

Q: Find the equation of the tangent line to f(x) = (x^2) − 4x + 1 at (x=3).

A: We first find f'(3) So the slope is 2

Q: Write an equation of the tangent line to the curve traced by r(t) = ti + ((t^(2)/ 2) + 3)j + 2tk at…

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