x² q(x) =- sin(x)

Q: Using the definition of the derivative, find the derivative of the function y=1x.

A: Given function

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

A:

Q: 3. what can the derivative be used for? In essence, what are the practical applications of…

A: This is a problem related to practical application of the derivatives. Please find the procedure…

Q: (1) Using the definition of derivative, find the derivative of th following functions: (a) y = xvx²…

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Q: find the derivative of y with respect to the appropriatevariable. y = ln (x2 + 4) - x tan-1 ( x/2)

A: We use the chain rule and product rule

Q: x-2 Find the 1st derivative of y= sin x+3

A: To find the first derivative of y=sinx-2x+3. Solution: Chain rule of differentiation states that:…

Q: 2x+1 Ise Derivative Rules to find the derivative of g(x) x2-1

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Q: e first derivative for the +1)(x +2) 2)

A: Find the first derivative. y=(x+1)(x+2)(x-1)(x-2)

Q: Find the derivative of the function. y = x2 csc x

A: The derivative of any function y=f(x) for the variable x is defined as the rate of change,for which…

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

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Q: 1. Please use this formula in finding the derivative of a given function. (. b. Find the derivative…

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Q: (は a 2

A: Solve the given problem.

Q: Find the derivative. y=16√x   *The 16th root of x

A: Given,

Q: Find the derivative of the function using the definition of derivative. 1 g(x) 8 + Vx g'(x) =

A:

Q: Find the derivative of the function. 4 = 3 + 8cos x

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Q: 2) Let y = xe* and find the first derivative y'. Where is y'>0?What does this tell you about the…

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Q: y = 25

A: differentiation of constant term is 0.

Q: 10. Determine the derivative of the function with respect to x. y = sin?(x)

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Q: 14. f(x) = 2 +3cos x

A: using basic properties and application of derivation we will solve this question.

Q: Q3:- Use the definition of derivative to find the tangent and normal equations of f(x) = x-3

A:

Q: 6. Find the derivative of f(x) = x² – 3x. Use the result to find the slope of the tangent line to…

A: By using differentiation. and definition of tangent at point.

Q: a) Find the derivative of the function using limits: f (x) = 2x+1 b) Find an equation of the tangent…

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Q: 2. Find the derivative of g(x) = 2x sin x.

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Q: x²+x' Evaluate the derivative at x = 1 for y = In () %3D

A: Some common derivatives are, ddx(ax)=ax.loga+C ddx(logf(x)=1f(x).f'(x)+C Quotient rule of…

Q: 4ニ-3x*+2x ty Find derivative of yzfu) only using 4 definition of derivative

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

Q: 10)Find the first derivative or f’(x) of the following functions using long method derivatives

A: We need to find derivative of given function.

Q: 5-x. Calculate the derivative of y with re

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Q: Find the derivative of the function. "1(* - VI + x) y = 9 tan

A: derivative

Q: Find the derivative of the function. y = -4 sin 7x

A:

Q: Calculate the derivative of the function. Then find the value of the derivative as specified. g(x) =…

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Q: Find the derivative of y with respect to x. (x-y)^2=2ax

A: The given function is: (x-y)2=2ax To find the derivative of y w.r.t. x.

Q: Find the derivative of y=cosine-1(7/x) with respect to x.

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Q: Find the nth derivative of the function y=sinax.

A: We find the first 4 derivatives using the chain rule

Q: Find the derivative of the function. f(x) = 4 3√x + 2cos x

A: The given function is ; f(x)=4/3sqrt(x) +2Cosx.

Q: 3x-4 1. Y= Arctan 4

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Q: Determine the 8th derivative of y with respect to x of the function : f(x) = 1 / 1 + x2 and find the…

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Q: derivative of y with respect to x. Use the given relation in its implicit form. (x - y)2 = 2ax.

A: We will find the derivative.

Q: B) Using the definition of derivative, find dx

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Q: x' Find the derivative of h(x) sin x 4x2+2

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Q: Find the derivatives of the functions y = x-2 sin2 (x3)

A: We have to find derivatives of the functions: y=x-2 sin 2x3 We know formula of differentiation,…

Q: Find the derivative of -3x f(x) = e¯* + e2x - e %3D

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Q: Find the derivative of the function. Simplify where possible.

A: Here given function gx=1-x2 cos-1x

Q: 32. Using one-sided derivatives, show that the function f(4) = { 3x, x>1 does not have a derivative…

A: Given: fx=x3,   x≤13x,   x>1 To Find: To show that the given function does not have a derivative…

Q: find the derivative f(x) = sin (x^−3/e^-x )

A:

Q: 5x f(x) = 2) Find the first derivative given that 2x+3

A: ddx(5x2x+3)=5.ddxx2x+3(uv)'=u'v-v'uv2=5.ddx(x).2x+3-x.ddx(2x+3)2x+32=5(2x+3-2.ddx(x)+ddx(3)x22x+32x+…

Q: Find the derivative of the following functions. Show your solution.

A: As per our guidelines we are supposed to answer only one question. kindly repost others question as…

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

A: topic - derivative of a function