Q1// Expand f(x) = sin(x + n) , 0

Q: Q2/ A/ Show that the functions f(x) = sin-1() and g(x) = 2tan-Vx, have the same derivative. %3D

A: Given : f(x)= sin-1 ( x-1 / x+1 ) g(x) = 2 tan-1 (√x)

Q: If f(x) - 5', show that f(x + h) – f(x) 5" h h

A: given that f(x)=5^x

Q: f(т) — Зг? — 2х + 4

A: Given: f(x)=3x2-2x+4

Q: tan x If f(x) = 3 sec a f (2) = f (1) =

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Q: and assume f(-2) =0 f'(– 2) = - 1. Find h'(-2). Let h(x) =x²e*(x)

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Q: Given f'(a) < 0, what do we expect is true for f(a +0.5) ?

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Q: Q1-) Determine whether the following functions are convergent or divergent: 1 1- En=1 ((3n-1)*/…

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

Q: 1) Find the derivative of f(x) = 1+sin 2x %3D 2 cos3 x

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Q: Let f(x)=sin(10x) Find approximate value of the derivative for x =9, h = 0.1 Use forward diffrence…

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Q: dn Find a general formula for den by identifying a pattern in parts (a) through (c). To begin,…

A: We use the given details and differentiation formula to find answer

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT h¯¹ (z) = 1/2 ln (1+2) 1-z Show that tanh

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Q: 5. Using the Mean Value Theorem, find all values of c in the open interval (a, b) such that the…

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Q: Evaluate tan° (x) sec* (x)dx in the two different ways indicated.

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Q: Differentiate. 4 (2x + 9)(x+ 1)* (1– 5x)° f(x) = In d (2x + 9)(x + 1)* In dx %3D (1 – 5x)°

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the first derivative of y=tan? (3x²-4). A) x tan (3x²-4) B 12x tan(3x2-4) sec²(3x²-4) (c) sec?…

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Q: The f sin x cos x dx is not equal to {A} -cos 2x + C {B }sin'x + C {c}-cos'x + C {D} sin 2x + C

A: Given query is to find the incorrect option for the integral.

Q: The derivative of 01 COS I sin x esin(x) + ecos(x) et dt is - cos(x)esin(x) — sin(x)ecos(x)…

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Q: 14- 2x (x-4) (x-1) dx =

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: