59. Write a function of the form y = tan (Bx – C) for the given graph. y 4 3 2 37 4 4 -3 -4 2.
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- If f(x) =2x2 - x3 , find f'(x) , f" (x), f"'(x) , and f(4) x.Graph f , f' , f" , and f"' on a common screen. Are the graphs consistent with the geometric interpretations ofthese derivatives?4. Differentiate the following function. y=5e x−5x dy/dx=nothing Enter your answer in the answer box.Sketch the graph of y = sin (x − c) for c = −π/4, 0, and π/4. How does the value of c affect the graph?
- Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.) f(x) = x + 8 cos x, [0, 2?]For a particular function h, we know h'(2) = 6 and h(2) = −3. Write an equation for the line tangent to h(x) = y at x = 2.Suppose that f is a function given as f(x)=x3+bx2+cx−4 Find the exact values of b and c if we know that the line y=36x+68 is a tangent line to the graph of f at x=−3 b= c=