1. Consider the two functions f(x) = cos 4x and g(x) = { ) (a) Write down: (i) the minimum value of the function f (ii) the period of g

Q: Use definition to find derivative of the following function at z = 3 – 2i.

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Q: Let f(x) = -2 ln(cos(x)) f''(x) =

A: dlnxdx=1xdcosxdx=-sinxdtanxdx=sec2xsinx cosx=tanx

Q: The graphs of the functions f and g are shown below. y 8 7 g(x) 6 f(x) 5 4 V ZA Z 3 2 1 -3 -2 -1 4 5…

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Q: (a) Find the derivative of the following functions (i) y = a² sin“ x +æ cos-2 x. (ii) y = e(+v#+x²),

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Q: 2. Find the derivative of the following functions: (a). f(x) = x* + 2x¯² + 4e* %3D (b). f(x) = 2 tan…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Identify the function f (x). I (x) = (f (x))° = cos 2x

A: Given,          lx=fx6=cos62x

Q: Q:Findthe domain of the following functions sin 'x (1) s''x (i) [x] 1 (ii)- | x | ,× cos 'x

A: In this question, we need to find the domain of the given functions.

Q: x3 C. g(x) : et

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Q: (a) Use f(t) = a cos (b(t- c)) + d to model these conditions. (b) Evaluate f(1) and f(7). (a)…

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Q: 2. Suppose f(x+3)%3D f(xr), what is the period of the function f ? (A) 4 (B) 3 (C) 2 (D) 1

A: topic - functions

Q: Consider the functions f(x) = 2 sin(3.x), g(x) = cos(x²), and h(x) = tan(x³). (a) Find the…

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Q: The Bay of Fundy in Canada has the largest tides in the world. The difference between low and high…

A: Given, Difference between low and high water level = 18 m  y = D + A cos (B(t - C))

Q: Let Q (p) : %3D p+1 (a) Calculate the derivative Q' (p) (b) Calculate the quotient Q (p + 4) – Q (p)…

A: Using derivative formula.

Q: 1. þompute and simplify the derivative with respect to x for each of the following functions: a)…

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Q: 2) Find the derivative of the following function 1² +5 1² – 5 (a). f(x) = (b). f(x) = 2 tan '(x) –…

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Q: 3. Find the derivative y(15)of the function y = (x2 + x)sin(2x).

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Q: A2) Find the derivative of the following functions 1² + 3 z² – 3 (a). f(x) : (b). f(x) = 2 tan (x) –…

A: As per bartleby guidelines, we are supposed to solve only first three subparts if multiple subparts…

Q: Find the derivative of f(x) = tan (cosx) ++

A: Important Derivatives:1. ddxxn = nxn-12. ddx tanx = sec2x3. ddx cosx = -sinx

Q: 17) Find the derivative of y = x? COs x - 2

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Q: Activity 4: 1. Find the indicated derivative for each of the following functions and evaluate as…

A: We know, ddxxn=nx(n-1) , for any real number n. ddxcos x= -sin x ddxsin x= cos x

Q: 2nt ), where S is the size in 24 The size of a fungus is given by the function S(1) = 3.61 +1.2…

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