Find the rate of change of h at the point P(,-1) along the direction i = (1, –1). os(2r) find dy and S COS and If x and y ds ds 2 S when (r, s) as (52). use them to find

Q: y=2sin(x) and y=sin(x) using words only how could I compare these functions?

A:

Q: Differentiate the following functions using the quotient rule. a) You are given that f (x) a df dx…

A: The Power Rule:The Chain Rule:The Quotient Rule:

Q: Differentiate the following function COS T 1 (a) sec(x) tan(x) (b) (c) sin (4x° + cos(x))

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Q: Differentiate implicitly the function y(x) given by the equation y=cos(x+y).

A:

Q: If f(0) = sin 0 = 0.1, find f(0 + 7).

A: fθ=sinθ =0.1

Q: 2. If f"(x) = 4 sin x +16 cos x, f(0) = 6, f'(0) = 1, find f(x) and f ().

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Q: Differentiate the following functions. Simplify and factor your answer where possible. a) f(x) = e2x…

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Q: E. (DERIVATIVES OF TRIGONOMETRIC FUNCTIONS) 1. If f(x) = secx + 3 csc r, then 2. If g(x) = x² sinx -…

A: To find the derivatives of the following functions.1 fx=sec x+3 csc x2 gx=x2 sin x-3x cos x+5 sin x

Q: Consider the function f(x) = 3 sin (r). Find the equation of the line tangent to the curve f(x) = 3…

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Q: g(x) = tan(sin²(x)) + e², +e?

A:

Q: Differentiate the function step by step following all the rules of trigonometric differentiation. y…

A: Differentiating using product rule of differentiation

Q: f(x) = 2 tan x Ꮖ

A: f(x)=2tan⁡xx

Q: Differentiate the function. sin e + y = 4

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The detailed solution is provided below.Explanation:

Q: What are the derivatives of sin g(t), cos g(t), and tan g(t)?

A: we have to find the derivatives of sin g(t), cos g(t), and tan g(t)

Q: Sketch the following, marking points of interest. Y = (*+2}(x+4}/(x+3) Y= 2 sin x+1 Y= sin (2x)

A: Given Y = (x+2)(x+4)/(x+3) Y = 2sinx+1 Y=sin(2x)