Show that is C is a function of x with derivative C'=C/x and N=C/x, the d/dx (C/x)=(C'-B)/x

Q: Find derivative of the function f(z) = (sin¬' (2z – 1))² with respect to z.

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Q: Find the derivative of ƒ (x) = (x7 − 7x) (x² + 8x − 10). f'(x) =

A: Topic - Derivative of a function We are given that f(x) =(x7-7x)(x2+8x-10) we know…

Q: Show that the derivative of FOx) =x² is f'x)=2x using the defimition

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Q: estimate the derivative f'(0) of f (x) = 3* using calculator to 5d.p.

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Q: What is the derivative of f(x) = x² +x² a +2 where a is a constant ? xa+2

A: We write f(x) using exponents f(x)=x7+x2+a+2xa+2f(x)=x7+x2+(a+2)x-(a+2)

Q: Please help me. *If y = √u+1 and U = 5x+1, then dy/dx is

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Q: Find all possible functions with the given derivative. y' = 2x² - 6x 2 O A. 3x³ + C 2 O B. 3x³-3x² +…

A: Given,             y' = 2x2 - 6x

Q: Find the derivative of ƒ (æ) = (8x (8z4 – 32 30)°. f' (z) =

A: Given,

Q: What is the third derivative of f (x) = a + cosæ?

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Q: Compute the derivative of the function f(x) = 5x² + 3x at the point x = 4. %3D (Give your answer as…

A: We have to find the derivative at that point

Q: Evaluate the derivative of y = (x 2+ 2x + 1)2usingd/dx (ƒ(g(x)) = ƒ′(g(x)) # g′(x)

A: We have to evaluate the derivative ofy = (x2+ 2x + 1)2usingddx(f(g(x))=f'(g(x))*g'(x)

Q: Find the derivative of the following: y = 2x* + + 3a? – 7 O y' = 8x³ + a² + 6x O y' = 8x + 2æ² + 6x…

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Q: What is the 4th derivative at x = 0 of the function f(z) = (2r + 1)* %3D

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Q: Consider the following functions. f(u) = 4u² h(u) = u + u p(u) = (u² + u)³ 4u2 g(u) = Find the…

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Q: Use three-point midpoint formula to evaluate the first derivative of y=x2+5x−1y=x2+5x−1 at x=0x=0…

A: Given function is y=x2+5x−1. We have to evaluate the first derivative of y=x2+5x−1 at x=0 using a…

Q: What is the derivatives of f(x)=(x^3)/(9-X^2) and its x and y intersect?

A: a) From the given problem: fx=x39-x2Ory=x39-x2   So,   dydx=ddxx39-x2=ddxx39-x2-ddx9-x2x39-x22…

Q: Let f be a function of x defined by ex f(x) + 15x-9x² =0. The derivative of f at x is f'(x) =

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Q: y = In (5x- 6x • 6), Hthe derivative, y' 2. 1S

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Q: consider the product of 3 functions w= f x g x h. Find an expression for the derivative of the…

A: Given functions are f, g , hTheir derivatives are given by f ' , g ' , h '

Q: 6. D, (Inx) 7. D, (3x + 4x5) 8. D, (40x) 9. D, (E) 10. D.

A: Find your answer below

Q: Use the rules of differentiation to find the derivative of the function y= 3+6sin: a. y' = 3+6cosx…

A: To find the derivative of the below function. y=3+6sinx

Q: Find the derivative of f(x) = (ax² + b)6 Assume that a and b are constants. f'(x)=0

A: Let given function  f(x) = (ax2 + b)6 where a and b are constant We have to find derivative of f(x)…