Use the alternative form of the derivative to find the derivative of the function below at x = c (if it exists). (If the derivative does not exist at c, enter UNDEFINED.) f(x)= x³ + 3x, C = 6 f '(6) = Need Help? Read It

Q: 1. Using the definition of derivative, find the derivative of the following functions: (a) y= xVx-2…

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Q: 4. Find the derivative of the function f(x) = (sin x)c0s ". COS x

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Q: Find the derivative of the function ?

A: To find the derivative of a given function

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 the given function at a given number. 1. y = 3x² - 2 at f'(1)

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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: 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: Can you help me with this problem step by step?

A: The equation is given by

Q: 1 Find the derivative of g(x)= (x)sec(x) + a+ x* + cos - sin(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: 10. Determine the derivative of the function with respect to x. y = sin?(x)

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

A: Since you have asked multiple question, we will solve the first question for you . definition of…

Q: 4. Consider the function f(x) = 2 cos x x2 find its derivative

A: (4) Consider the given function. fx=2cosxx2 The quotient rule is defined as. fxgx'=f'g-g'fg2

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: find the derivative. y = ecos−1 x

A: Given: y=ecos-1(x)

Q: Find the derivative of the function. f(x) = 6√x + 5 cos x

A: To find the derivative of the given function f(x).

Q: Find the derivative of the function. y = 3 tan-(x - V1+x²) II

A: Consider the given function

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: Find the derivative of y = x' +1 3 Give your answer with positive exponents.

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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: find the derivative of y with respect to x, t, or θ, as appropriate. y = (x2 ln x)4

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Q: 8. Evaluate the derivative of the function y with respect to x. y = 5*e*

A: This question is related to differentiation, We will solve it using given information.

Q: find the derivative of the function.

A: h(x)=xcosx

Q: Find the derivative of f(x)=((e^x)+(x^2))(3sinx+4cosx

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Q: B) Find derivative of the following function d -6tanx dx

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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: at x: つ:8ー5x, atx=e

A: Given:  F(x) = x3 - 5x ...(1)       and the…

Q: Find the derivative of the function. f(x) = ln(x2 + 1)2

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Q: (3e)® arctan (3x³) In(e2«) arccos(5x) 1. Find the derivative of f (x)

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Q: a) Find the derivative of y = 2 sin-1 x. b) What is the value of the derivative at x = 0.

A: given

Q: Find the second derivative of the function. 9. g(x) = x-1 10. h(x) = sinx = (x)6

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Q: (a) Find the derivative at x = −1. (b) Find the second derivative at x = −1.   h(x) = 2x4 + 8x3 +…

A: (a) The given function is

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

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Q: 17) Find the derivative of y = x? COs x - 2

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Q: 1) Find the derivative. Simplify where possible. y = x tanh-1x + In/1 – x²

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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: Find the derivative of the function. h(x) ető - x + 1 ets

A: hx=ex8-x+1

Q: Find the derivative of the function. h(x) = ∣x∣ cos x

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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: Evaluate the derivative of the given function for the given value of x. Show all work.

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Q: 2. Determine the 8th derivative of y with respect to x of the function f(x) = 1 + x2 and find the…

A: fx=11+x2 Differentiate the above function with respect to x. f'x=ddx11+x2=2x1+x22 Again,…

Q: Find the derivative of the function. h(x) = x² arctan(8x)

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Q: 2. Given the function f(x) = 2x² + 3x + 1, a. Use the secant method to find the instantaneous rate…

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Q: Find the derivative of y with respect to x Y=(7x+3)^x

A: Find the derivative of y with respect to x Y=(7x+3)^x

Q: Find the derivative of y with respect to x. Y=(x^2 ln x)^4

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

A: topic - derivative of a function