Calculus

Let ƒ be the function given by fx=frac ex2-x. . At what point on the graph of f is the tangent line 4x-8y=11 ?

Compute the derivative of fx=-2x5/2+5 square root of x3. Repeat this problem for additional practice. f'x=square f'6=|frac -45 square root of 62

[- / 1 Points] Evaluate the limit with either L'Hôpital's rule or previously learned methods. limlimits _xto ∈ fty x7e-x

Given the equation y In x4+y4+6=2 , evaluate dy/dx . Assume that the equation implicitly defines y as a differentiable function of x dy/dx =square Use parentheses to clearly denote the argument of each function.

Find f'x and f''x. fx=x3+8ex f'x=square f''x=square

at which x values does fx=4x cubed plus 9x squared minus 12x plus 3 have vertical tangent lines

Evaluate the limit. limlimits _xto ∈ fty frac 2x2+3x-47x2+4x-9 Simplify any fractions in your answer.

Given limlimits _xto 0fx=4 . What is limlimits _xto 0 1/4 [fx]4 ? 0 4 64 128

Find the derivative of the function given below. z=6tan e-7 θ z'= -42e-70sec 2e-70 ×

Differentiate the function with respect to the independent variable. fx= square root of [5]6+3x2