Question 1: Let f be a function and let h be a non-zero real number. Then the derivative (when it exists) of f(x), f'(x), is the limit as h tends to zero of the difference quotient f(x+h) = f(x). h O True O False For any differentiable functions, the derivative of their sum is equal to the sum of their derivatives. (Hint: in determining the truth or falsehood of this statement it may be helpful to re-write it in mathematical symbols.) O True False Considered over their respective domains, all of the trigonometric functions sine, cosine, tangent, cotangent, cosecant and secant are differentiable. O True O False
Question 1: Let f be a function and let h be a non-zero real number. Then the derivative (when it exists) of f(x), f'(x), is the limit as h tends to zero of the difference quotient f(x+h) = f(x). h O True O False For any differentiable functions, the derivative of their sum is equal to the sum of their derivatives. (Hint: in determining the truth or falsehood of this statement it may be helpful to re-write it in mathematical symbols.) O True False Considered over their respective domains, all of the trigonometric functions sine, cosine, tangent, cotangent, cosecant and secant are differentiable. O True O False
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Math, it is enough to tell the answer directly true or false.
Transcribed Image Text:Question 1:
Let f be a function and let h be a non-zero real number. Then the derivative (when it exists) of f(x), f(x), is the limit as h tends to zero of the difference quotient f(x+h) — f(x)
h
O True
O False
For any differentiable functions, the derivative of their sum is equal to the sum of their derivatives. (Hint: in determining the truth or falsehood of this statement it may be helpful to re-write it in mathematical symbols.)
O True
False
Considered over their respective domains, all of the trigonometric functions sine, cosine, tangent, cotangent, cosecant and secant are differentiable.
O True
O False
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