INSTRUCTIONS: Use the Differentiation Formulas and Rules of Derivatives to find the derivatives of the following functions.. Show your step by step solution

Q: 2. L(u) = (Vu³)(2u + u? – vũ) L'(u) = CUSTOON CTO. COPI COMP CUSE

A: Given that, L(u)=u342u+u2-u

Q: Directions: Evaluate the derivatives of the following functions with respect to x and simplify the…

A: We use the chain rule for differentiation. The typeset solution in latex is presented as the next…

Q: I keep getting part b wrong, it says to round the coefficients to four decimal places.

A: We have to find Equation of tangent

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Q: Use implicit differentiation to find the following. (If only the x-coordinate is given, you must…

A: This question is related to application of derivatives.

Q: 4. y = sin(cos 3x) – sin x cos 3x

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Q: Instructions: Answer the following items neatly and completely in a piece of paper. Once you are…

A: Please refer to the image below

Q: Which of the following statements is correct? A) The derivative of a function is always zero. B) The…

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Q: Find the derivative of the functions You do not have to simplify your answers.

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Q: Use implicit differentiation to find the following. (If only the x-coordinate is given, you must…

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Q: COMP MPILE CONLEDA COMPID AN OMPILE ANDE PILED A EDI EDAND EDITELD y~4 %3D 11 +: Зу AND EDITED B…

A: Given- hy=y-42-7y-3+4y-2+113y To use- : The Differentiation Formulas and Rules of Derivatives to…

Q: f (x) = Vx +2x ATE 7x-4x f'(x) = PILI® LED AND 2DAND EDITF AND ED

A: Quotient rule of differentiation is used for two functions which are written in the Quotient  form…

Q: x +3)4 = 3y9 find the 3rd derivative 21 %3D

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Q: se implicit differentiation to find the following. (If only the x-coordinate is given, you must also…

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Q: 3. Evaluate derivatives of following. Tell me WHICH RULE vou are using and CLEARLY SHOW your use of…

A: (a) Given data:   The given expression is y=30/x9-20tan(x)+(x5)1/2+10ex+ln(4000).   The derivative…

Q: Implicit differentiation Carry out the following steps.a. Use implicit differentiation to…

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Q: Use implicit differentiation to find the following. (If only the x-coordinate is given, you must…

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Q: Use a CAS to perform the following steps a. Plot the equation with the implicit plotter of a CAS.…

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Q: derivative(y

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Q: Find The Derivatives

A: Given that: y=z4.1-2z23

Q: Implicit differentiation Carry out the following steps.a. Use implicit differentiation to…

A: Given that siny=5x4-5         ...(1)

Q: derivative

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Q: find the derivatives of the following functions with respect to x and simplify the result.

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Q: n 1: Given the function f(x) (b) find fl 1) ( = : 3x² − x, then (a) find the derivative function…

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Q: a) Find first and second derivatives of the following functions: x³ + 7x y=-cot(3t-1)

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Q: Find the derivatives of the following functions using the rules of differentiation. Simplify your…

A: Since you have asked multiple part question as per guide line we will solve the First three sub part…

Q: y = 2t4 – 10t² + 13t y' = AND NDEL

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Q: Find the derivative of the function below. (Do not simplify your answers, and SHOW ALL STEPS) f(x) =…

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Q: Hi, I need help with this equation by explaining step-by-step please.  Find the derivative and…

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Q: lease find the derivative of the function h(r) using the picture

A: given function :

Q: Use a CAS to perform the following steps a. Plot the equation with the implicit plotter of a CAS.…

A: According to the given information first it is required to check whether the given point P satisfies…

Q: 9. XArctanx - Invx² + 1 = y

A: It is second derivative.

Q: SUse implicit differentiation to find an equation of the tangent line to the devil's curve,definec…

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Q: Question: Which rules do you need to use from above to compute the derivative of 3 f(x) = 2 +de+3),…

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Q: 50. y=Vx+Vx+

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: x+5 Find the equation of the tangent line to the graph of the function f (x) at the point (0, -).…

A: Given fx=x+5x-4 at the point 0,-54

Q: Use a CAS to perform the following steps a. Plot the equation with the implicit plotter of a CAS.…

A: We have given the following curve and its point;

Q: Using the definition, calculate the derivatives of the functions. Then find the values of the…

A: we have to find the derivative of the given function using the definition of the derivative.…

Q: Implicit differentiation Carry out the following steps.a. Use implicit differentiation to…

A: y2=4x a). Differentiating with respect to x, we get 2y·dydx=41⇒dydx=42y⇒dydx=2y

Q: Use the differentiation formulas and rules of derivatives to find the derivatives of the following…

A: The question is taken from the calculus in which we have to find the derivative of given function We…

Q: Implicit differentiation Carry out the following steps.a. Use implicit differentiation to…

A: Consider the following equation: cosy=x Differentiate above equation with respect to x using…

Q: (a) Find y' by solving the equation for y and differentiating directly (b) Find y' by implicit…

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Q: 3. Z(t) = VE- INGLAL GIL AU %3D Z'(t) =

A: Consider the given information Zt=t+t3t2 We have to find Z't   Quotient rule for differentiation…

Q: 5. . e(2x- y) == 2x – y

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Q: Use a CAS to perform the following steps a. Plot the equation with the implicit plotter of a CAS.…

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Q: Find the derivatives of the function r = (csc θ + cot θ)-1

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Q: 4. y = sin(cos 3x) – sin x cos 3x |

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Q: find the second derivative

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Q: a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to…

A: For (a), We need to find the derivative function f' for the function f(x)=2x2-9x+10. So,…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: