Computing Derivatives The Rules of the Game True Or False

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1.	Let h(x) = e^{3x + 7}. Which is the best choice for the inside function? -> g(x) = e^x. True False
2.	The function h(x) is composed of two functions. The outside function is cos (□) and the inside function is ln x. Which formula best describes h? -> h(x) = cos x · ln x True False
3.	The chain rule says that if h(x) = f(g(x)), then -> h ' (x) = f(g ' (x))· f ' (x) True False
4.	Find the derivative of the function f(x) = (cos x)^-3. -> f ' (x) = 3(cos x)^-4 · sin x True False
5.	Suppose f and g are inverses so that f(g(x)) = x. Then -> True False
6.	If s = 4t² + 3 and r = cos s, then to find the derivative of r with respect to t we would use the version of the chain rule that says -> True False
7.	The derivative of ln(5x⁶ + 7x²) is -> True False
8.	Which function's derivative is -7sin(x)cos⁶ x? -> cos⁷ x True False
9.	Find y' given that y is a function of x and xy + x + y = 0 -> True False
10.	To use implicit differentiation on the equation we need to use -> the chain rule but not the product rule True False

Computing Derivatives True or False

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