Let g(x) = sin(x). Use Addition or Subtraction Formulas to show the following. g(x + h) − g(x) = (sin(h)) cos(x) – sin(x)(- 4 g(x + h) − g(x) h = sin(x + h) - sinch) h · cos(h) + cos(x) sin(h) - sin(x) h 1 = cos(h)) h sin(x) (1 cos(h)) 1 (sin(h)) cos(x) - sin(x)(¹ = cos(h))

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A: If f(x) = Asin(mt + n) or f(x) = Acos(mt + n) then amplitude = |A|

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Q: c. _h(x) = e¯³(sin(x) + 2x); only quotient rule

A: To solve the following using quotient rule

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Q: 5cos³(x) sin(3–2x) answer in terms of sin and cos only ind the derivative of y = + tan²(3x² – 4x) –…

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A: x(t)=sin sint2-π2δ(t)

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: 4) a) Determine the simplified expression for the 623rd derivative for the function f(x) =cos(2x)…

A: a)   fx=cos2x+sin2π     =cos2x+0      = cos2x

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A: Introduction: Numerical differentiation is the technique of obtaining the numerical value of a…

Q: 7. Find the second derivative given g(x) = sin x² A. 2 (cos x² - x sin x²) C. 2x cos x² 9 "(x) - 4 x…

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Q: The function f(1)3 sinh(In()) Is equivalent to which of the following functions Select one

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A: Trigonometric ratios have different signs for different arguments pertaining to the quadrant which…

Q: Find the value of f(0) when 3 sin(2t), f( f'(t) 1. f(0) 2. f (0) 3. f (0) 4. f(0) 5. f(0) = = = = =…

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Q: Assuming functions g and h are differentiable, find  f(x).  f(x) = cos4(g(x))  f(x) = h(xex )…

A: The given functions are,