6. Find the derivative for each function. b. f(x) In 5x3 2)3 f(x) (e*3 2) а.

Q: 1: Using the definition, calculate the derivative of the following function. S(x)=4-x²

A: Topic:- derivatives

Q: Find the derivative of the function g(x) = 3arccos(x/2)

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Q: A function is given as x - 6y = 5– x. Calculate the derivative of y with respect to r with two…

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Q: Find the derivative of the following function. y = (In |x+4|)7

A: given that  by using chain rule

Q: Find the derivative of the function.

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Q: 1. Find the function whose derivative is XV X xª – 1

A: We need to find a function whose derivative is 1xx4-1

Q: Find the derivative of ywith respect to x in the following functions: 18x y (ans.: (3x-2 a) y= and…

A: Derivative of uv uv' = u'v-v'uv2

Q: Find the derivative of the given function by definition 6" y 5xar+1 + 3r

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Q: F(y) = In(1 – 5y² +y³)

A: Topic = Derivative

Q: 6. Find the derivative for each function, and simplify (reasonably): a) j(x) = (3x² + 3x – 1)* b)…

A: According to the chain rule of differentiation:   According to the Product rule of differentiation:

Q: Find the derivative of the following function. 3 10 -8 y = 5x 2+ 10x i.! y' =O

A: Given: y=5x-32+10x-12+x10-8 We know that ddxxn=nxn-1…

Q: . Get the derivative of the given function. 2. y - In 7x

A: Solving the problem by finding the derivative of the function.

Q: 4) Calculate the first derivative of the following functions: 1. f(x) = In 2x2+1° 2. f(x) =…

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Q: 4. Determine the derivative of the function with respect to x. 8sin?(x² + 2) y = 4tan²(x² + 2)

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Q: 1. Determine the first derivative of the functions below with the rules for deriving the function:…

A: A Given function is y=4x3+32. Use formula ddxxn=nxn−1 Differentiate  y=4x3+32 by using the chain…

Q: Compute the derivative of the given function. g(t) = 2t - In(2 – 5t) %3D

A: Given that: g(t)=23t.ln(2-5t)

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 11) y = In 1-x (x +4)3

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Q: Find the indicated derivative dz/do for z= x^3+x^2/1-x-4x^2

A: We have to find derivative

Q: 5. By calculating a derivative, determine whether the following statement is true (or false): et et…

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Q: Y = c 2.

A: The product rule of differentiation is given by the following expression:- ddx(uv)=udvdx+vdudx The…

Q: Find derivatives of the functions defined as follows: y =(3x3 - 4x)e-5x

A: Given:          y=3x3-4xe-5x Let:  y=f(x)=3x3-4xe-5x Product rule of differentiation is given by…

Q: FIND THE DERIVATIVE OF THE GIVEN 4.) f(x) = sec x ニ 5.) y= In「3-2メ |- 3x 6.) y= Inle-*+ xe-*)

A: 4. To find: The derivative of the function. Given: The function is secx. Calculation: Use the chain…

Q: Find the derivative of the following function. 5 +x² -7 2 y= 9x 2 + 10x y' =O %3D

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Q: x²Sin(x) y = In 2x + 1 9.

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Q: 1. Find the derivative of the function f (x) = e2x + 5* + x3

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Q: Q2/ Find the derivative of the function f(x) = V3x +1 by definition %3D

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Q: Find the derivative of the following function. 3 8x y = In x y'=0

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Q: 2. Find the derivative of the following functions: (a). f(x) = x + 4x-2 + 6e" [1 Mark]

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Q: 4. Find the second derivative for the following functions: a) (ans.:6x +

A: Derivatives

Q: Find the derivative of the function y = In(5e – 9xe "). y = ||

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Q: Find the derivative of the function.s(x) = e3x − 1/x3 − 1

A: The given function is

Q: 5. Find the requested derivative for each function, and simplify (reasonably): a) f"(x) for f(x) =…

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Q: 4. Find the second derivative of each of the following and determine based on your results if the…

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Q: 1. Find the first derivative of the following functions: y = f(x) = -(2x + x³)-2 + 4x (2x+4)² (a)…

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Q: 11 8 Find the derivative of the function: y = 3(x – 4)' x-4

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Q: Which of the following is the derivative of the function f (x) = 5x · e*? Of (x) = 5e* Of'(x) = 5e*…

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Q: Find the derivative of the function. *sin(x) y = Jcos(x) In(6 + 3v) g'(x) =

A: use Lebniz's Rule:   d/dx ∫[a(x),b(x)] f(t) dt =f(b(x))b' - f(a(x))a' Here, a(x) = cos(x) b(x) =…

Q: What is the first derivative with respect to x of the function g(x) = 3/9x O 1/2 9.

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Q: Suppose h(x) =23r +1 What is the correct result of the derivative of h with respect A h'(x) =3-23x +…

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Q: Find the derivative of the following function 1. f(x) = 5x' - 32x + e?

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Q: Q2: Find the derivative of each of the following 1- f(x) = 2x5 + 2- y = (x – 3x²)(6 – x*)

A: In this question we have to find the derivation of the given function which we can easily find using…

Q: 7. Find the derivative of the given function. Simplify and express the answer using positi exponents…

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Q: If g(z) = 6-2), then its derivative is given by:

A: Consider the following formula: ddxax=lna·ax Consider the following function: gx=6x2-2

Q: 6.) Find the derivative of the fonction 2 8- g'cx) =

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Q: 1 Find the derivative of each function: b) f(x)=(x'+3x² +7)° 2x+1 b) f(x)=- (x+2x)°

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Q: If g(z) = 6z-2), then its derivative is given by:

A: For simplification, take natural logarithm on both sides of the equation gx=6x2-2 and apply the…

Q: Find the derivative of the function y = In(x /x² + 14 X Vx²+14 1 Vx²+14 1 x²+14 x2+14

A: Topic:- derivatives  Note:- as per our guideline if more than one question uploaded than only first…

Q: Monday, 1) Find the derivative of the given function with respects to e y = 3lan® In 3

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Q: 7. Find the second derivative of the following function: y = e** +In(7e¯* + 5x³) – 5²× +-

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