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df 6. Calculate for the function f(0) = = sin² 0 + cos² 0 de (a) Directly by using the rules of differentiation. (b) By first simplifying ƒ with a trigonometric identity and then differentiating. 7. For the curve y = x tan x and point P (1) (a) Confirm the point P lies on the curve. (b) Find the equation of the tangent line at P. 1. Find the derivative f'(x) of f(x) = sin 4x using the definition of the derivative. 2-5: Differentiate the following functions involving trigonmetric functions. 2. f(x) = x² cos x dH 4. H(0): = csc cot 0; Also find de |0=π/3 +3 3. f(t) sint + tant 5. f(x) = (sin x + cos x) (sec x - cot x) df ᏧᎾ 6. Calculate for the function f(0) = sin² 0 + cos² 0 (a) Directly by using the rules of differentiation. (b) By first simplifying ƒ with a trigonometric identity and then differentiating. 7. For the curve y = x tan x and point P πT (a) Confirm the point P lies on the curve. (b) Find the equation of the tangent line at P.

df 6. Calculate for the function f(0) = = sin² 0 + cos² 0 de (a) Directly by using the rules of differentiation. (b) By first simplifying ƒ with a trigonometric identity and then differentiating. 7. For the curve y = x tan x and point P (1) (a) Confirm the point P lies on the curve. (b) Find the equation of the tangent line at P. 1. Find the derivative f'(x) of f(x) = sin 4x using the definition of the derivative. 2-5: Differentiate the following functions involving trigonmetric functions. 2. f(x) = x² cos x dH 4. H(0): = csc cot 0; Also find de |0=π/3 +3 3. f(t) sint + tant 5. f(x) = (sin x + cos x) (sec x - cot x) df ᏧᎾ 6. Calculate for the function f(0) = sin² 0 + cos² 0 (a) Directly by using the rules of differentiation. (b) By first simplifying ƒ with a trigonometric identity and then differentiating. 7. For the curve y = x tan x and point P πT (a) Confirm the point P lies on the curve. (b) Find the equation of the tangent line at P.

Calculus: Early Transcendentals
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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df 6. Calculate for the function f(0) = = sin² 0 + cos² 0 de (a) Directly by using the rules of differentiation. (b) By first simplifying ƒ with a trigonometric identity and then differentiating. 7. For the curve y = x tan x and point P (1) (a) Confirm the point P lies on the curve. (b) Find the equation of the tangent line at P.
Transcribed Image Text:df 6. Calculate for the function f(0) = = sin² 0 + cos² 0 de (a) Directly by using the rules of differentiation. (b) By first simplifying ƒ with a trigonometric identity and then differentiating. 7. For the curve y = x tan x and point P (1) (a) Confirm the point P lies on the curve. (b) Find the equation of the tangent line at P.
1. Find the derivative f'(x) of f(x) = sin 4x using the definition of the derivative. 2-5: Differentiate the following functions involving trigonmetric functions. 2. f(x) = x² cos x dH 4. H(0): = csc cot 0; Also find de |0=π/3 +3 3. f(t) sint + tant 5. f(x) = (sin x + cos x) (sec x - cot x) df ᏧᎾ 6. Calculate for the function f(0) = sin² 0 + cos² 0 (a) Directly by using the rules of differentiation. (b) By first simplifying ƒ with a trigonometric identity and then differentiating. 7. For the curve y = x tan x and point P πT (a) Confirm the point P lies on the curve. (b) Find the equation of the tangent line at P.
Transcribed Image Text:1. Find the derivative f'(x) of f(x) = sin 4x using the definition of the derivative. 2-5: Differentiate the following functions involving trigonmetric functions. 2. f(x) = x² cos x dH 4. H(0): = csc cot 0; Also find de |0=π/3 +3 3. f(t) sint + tant 5. f(x) = (sin x + cos x) (sec x - cot x) df ᏧᎾ 6. Calculate for the function f(0) = sin² 0 + cos² 0 (a) Directly by using the rules of differentiation. (b) By first simplifying ƒ with a trigonometric identity and then differentiating. 7. For the curve y = x tan x and point P πT (a) Confirm the point P lies on the curve. (b) Find the equation of the tangent line at P.
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