6.)Find the derivative of the following functionsa.) f(x)=-7-3хt +1b.) f(x)=tan(2x)c.) f(x)=e'd.)f (x) = sin-1(2x³)

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Answered: 6.) Find the derivative of the…

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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A2) Find the derivative of the following functions: x2 + 2 (a). f(x) x2 2 - (b). f(x) = 2 tan-1(x) – 3" (c). f(x) : = (x + 2 sin x) (1 – 8 cos x) tanx (d). g(x) = 2 – secx -
a) A function is given below with unknown coefficients B and C: f(x) = x³ - 6x² + Bx + C i) Find the derivative of the function f(x).
2. Find the derivative of each function: cos (x) 1-x² (b) g(x) = 5³√x - (a) f(x): (c) f(x) = (3x² + x − 12)(7x² − 4x) - (d) s(t) = 2t³ - 8t+4
2. Use Power, Product and Quotient rules to find each derivative a) (3x – V)(3x5 – 4x²) b) g'(t) if g(t) = 5t-2t t2+1
5- Calculate the derivative: f (2) = (100z + Sin (-72)) |
A student takes the derivative of the function h(x) = (x² + sin (x) )(1 − cos (x) ) as follows: h(x) = (2x + cos(x)) sin(x) Is this correct or not? Explain what the student did, and if not correct, write down the correct derivative.
3) Find the derivative of the functions. Make sure to show all work, and explain which differentiation rules you used and why: a. f(x) = xe* %3D sin x b. g(x) = x4+1 c. h(x) = (2x² + 3x – 1)(6+x – 2x³) x³+3x-2 d. p(x) : e. r(x) = x³ tan x f. s(x) = 3 sec x – 5 csc x cOS X в т(x) — ex
7) Find the derivatives using the rules of differentiation. Express results with positive exponents. a) f(x) = -2x5 - 3x³ + x b) g(x) = −6³√√x + 2√√x -4- c) f(0) = 2 sec 0 tane - 80

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6.) Find the derivative of the following functions a.) f(x)=- 7-3х |t +1 b.) f(x)=. -1 c.) f(x)= ean (2x) d.) f(x) = sin-1 (2x³)