he Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = 5+x2 Ciuo Hooim

Q: given the function flx) =x² - 3x + 1. Use this function to find The equation of the tangent line to…

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Q: SOLVE THE IMPLIED FUNCTION BY OBTAINING THE DERIVATIVE = 2x4y3 -xy² + 1; z = dz dy

A: Explanation:

Q: 7. If f(t) = /2t² +1, find f"(2).

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Q: 16. The derivative of the function f(x)= x - X +2 is X - 1 (x* - 2) V a) b) (x? -2) Vx x? - 2 d) X +…

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Q: Find the equation of the tangent line to the graph of f(x) = -2(3x – 1)³ at . Show work or explain…

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Q: If f(x) = 21, find f'(– 10).

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Q: f(т) — Зг? — 2х + 4

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

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Q: 3x²+1 e) у %3D cos?(3x?) f) y = x-2

A: We need to evaluate the derivative of the following function e y = cos23x2f y = 3x2+1x-1

Q: for function f(x) = e=z²/(20²) sketch f(x)!

A: Topic :- Calculus

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Q: Find f'(1) if f(x) = √√√x + )=√x+ +2

A: We are given,

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Q: 3 Let f(x) = (x³ + 4x + 7)³. Compute each of the following. f'(x) = ƒ'( − 2) =

A: given  f(x)=(x3+4x+7)3  we know  d(xn)dx=nxn-1d dx(constant)=0

Q: let hG) = f(x) %3D where f(-3) = 7, f'(-3)= - 9, g(-3) = -2 and gʻ(-3) = 1. What is b'(-3)? %3D %3D

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Q: he f Practice 1: Use the definition of derivative at a number a to find f'(a) of the functions given…

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Q: Let f(x) = x²+ Ax + B. By knowing that f(1) = 5 and f'(1) = 5, find the values for A and B.

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Q: Where is the function y =4x/x-3 concave downward? Show mathematical work to clearly answer this…

A: For a given function y=f(x) the curve is concave downward in an interval I when the second…

Q: Find f, (x.y) if f(x.y)=x - 5xy- 4y2.

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Q: Excrcise 10. Find the derivative d -7x * [" (t³ + 2) dt dx

A: Given,          ddxx∫57xt3+2dt

Q: Let f (x) = - x² – 3. Find and simplify ƒ' (x) and ƒ" (x). x5 f" f'(x) = A = -3 B C = || f" (x) D E…

A: Given Function f( x ) as follows

Q: Differentiate the following function. = VP + 2V7 u = u'(t) =|| I

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Q: (b) g(x):= 1/x for x E R, x#0, (d) k(x):= 1//x for x > 0.

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Q: If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2…

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Q: Find the general form of f if f'(x) = 5f(x).

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Q: 16. r(0) = sec 0 tan 0 – 2eº -

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Q: Use the second derivative test to find the local exterma of the function f(x) =x3+12x2-5 on R

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