A1) Using the definition of derivative, find the derivative of f(x) = x² + 6x + 6. [ 1

Q: (1)Let f(x)=x -7x+15. Find the derivative, f'(x) using the definition of derivative. Also find the…

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Q: 16. Use the definition of the derivative to find the derivative of the function f(x) = 3/x and g(x)…

A: Given,

Q: 18 The derivative of the function f(x) = x² + is 18 4x3 + (æ³) 18 O 4x³ - (æ²) 18 4x° + (x) 4x + 18…

A: d/dx(xn)=nxn-1 Given f(x)=x4+18/x  To find the derivative of f(x) differentiate once

Q: 5. Use the definition of derivative to find derivative of ƒ(x) = (D + 2)x –- (C + 2)x². D=7 F=7 C=2

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Q: (1) Using the definition of derivative, find the derivative of the following functions: (a) y = xVx2…

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Q: (14 Find the derivative of the function 7 (^ Y = x²+3 15 x²-3

A: Find the derivative of the function  y= [(x2+3)/(x2-3)]5

Q: 1 Find the derivative of f(x) = 2x + 3

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Q: A1) Using the definition of derivative, find the derivative of f(x) = x2 + 8x + 8.

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Q: Find q′(x) from q(x)=−5x3+x2−3x−3 using the definition of a derivative. (Do not include "q′(x)=" in…

A: Express the mathematical expression for the definition of derivative. f'(x)=Lth→0f(x+h)-f(x)h Given…

Q: Find q' (x) from q(x) = -5x³ + x2 – 3x – 3 using the definition of a derivative. (Do not include "q'…

A: Given, q(x) = -5x3 + x2 -3x -3  Differentiating q(x) with respect to x  d[q(x)]/dx = q'(x) q'(x) =…

Q: Find the derivative of z² + 5 (à). f(x) 12-5

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Q: A1) Using the definition of derivative, find the derivative of f(x) = x² + 4x + 4.

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Q: 16) Find f'(x) using the definition of the derivative. f(x) = x3 + x

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Q: What is the derivative of f(x) · g (x) in terms of f g? -1 Compute the derivative of -sin(x) · 2x…

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Q: 3, g(æ) = (x? + 1)°(x² + 2)"

A: Explanation and solutions is given below....

Q: Can you help me step by step?

A: The given function is,

Q: A1) Using the definition of derivative, find the derivative of f (x) = x2 + 3x +:

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Q: Find the derivatives of the function f(x) from the first principle x4+4

A: Here is the solution

Q: 3. Find the derivative of f(x) = 5x - 7 using the formula h f(x+h)-f(x) h

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Q: By using the first principle, find the derivative of the following functions. 1. f (x) = 3x^2 + 2x…

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Q: Using the definition of derivative, find the derivative of the following functions: (a) y = xvx² -2…

A: (1) Y = X*(X2-2)0.5       dY/dX = (X2-2)0.5  + (1/2) *(1/(X2-2)0.5) *…

Q: Q2/ Find the derivative of the function f(x) V4-x2 by definition

A: The derivative of a function f(x) with respect to x is given by limh→0fx+h-fxh. The given function…

Q: A1) Using the definition of derivative, find the derivative of f(z) = x + 5x + 5. %3D

A: Given f(x)=x^2+5x+5 Now we will find the derivative of given function using definition of derivative…

Q: 3 Determine the 3rd derivative of the function f(x) = 2√√x-x³

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Q: 1) Find the hundredth derivative of p (x) = (x+ x³ + x")1º (1 + x²)!' (x³ + x³ + x7). Justify your…

A: The given polynomial function is px=x+x5+x7101+x211x3+x5+x7 We have to find the hundredth derivative…

Q: 1. Use the Power Rule and properties of derivatives to find the derivative of each function a) f(x)…

A: Here we have to find the derivative by using power rule and the properties of the derivative.

Q: (b) Find the derivative of f (x) = (x² + 2) (8x − 5) by using the product rule. Let g (x) = x² + 2…

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Q: 1 Find the derivative of f(x) 2x + 3

A: Since we have to find the derivative of f(x)=12x+33, so ddx(f(x))=ddx1(3+2x)3 -(i)By using the chain…

Q: 10. Find f'(x) using the rules for finding derivatives 4x - 7x+3 f(x) = 2x +9 f'(x) =.

A: Explanation of the answer is as follows

Q: 8. Find the derivative of the function fx) = x? - 10x + 3 using First Principles.

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Q: Find the second derivative of the function. f(x) = 9(x2 − 1)2

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Q: Can i get help step by step?

A: To find the derivative of the given function q.

Q: 2. Find the derivative of f(x) 3. Calculate the derivative of f(x) 2a-4+-3

A: Topic:- derivatives

Q: 1. Use the definition of derivative to find the derivative of (a) f(x) = (x + 1)² 1 (b) f(x) =…

A: The solution are next step

Q: 2. Find the derivative of (a) f(x) = x* + 4x 2 + 4e" (b) f(x) = 2 tan (x) – 6"

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Q: f(x) = 2x² + 7x – 6. Find the first derivative of f(x) using the definition.

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Q: 1) find the derivative of y = 4x2 – 3x – 2 | | then evaluate f'(x+3)

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Q: Find the derivative of the function f(x) = 8x² – 14x by the definition of derivatives f(x+h)-f(x)…

A: Given function: fx=8x2-14x

Q: Calculate the derivative of the function. g(x) = (x2 − 5x − 1)−9

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Q: Q 6. Find the derivative of (3x2-2x)2 using the product rule and the chain rule.

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Q: A1) Using the definition of derivative, find the derivative of f(x) = x² + 2x + 2.

A: I have appended the formula used in the solution part.

Q: Q2/ Find the derivative of the function f(x) =V5- x2 by definition

A: →When limit is of the form 00or∞∞ (Indeterminate form ) then L Hospital's rule is used . In this…

Q: 2. Find the derivative of f (x) = (3x – 2x? )(5 + 4x) using the product rule

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Q: 8. Find the derivative of the function f(x) = x ² - 10x + 3 using First Principles.

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Q: what’s the derivative ? f(x)= ln(x^3 - 7x^2 + 1)

A: topic - derivative of a function

Q: 3. Find the derivative of g(x)=

A: We will use Lebnitz rule to find the derivative Of g(x).

Q: What is the derivative of the attached function for x= -8   -1 -1/2 1 2

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