1. (x² + y?)³ = a*x²

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

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Q: Find the (a) true error and (b) relative error of the following: The derivative of f(x) = 2−x at x…

A: For the solution follow the next step.

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

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Q: Use the alternative form of the derivative to find the derivative at x=c ( if it exists). f(x) =…

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Q: 2. Find the derivative of function y (y is a function of p). y = eP(p + PVp)

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Q: Зах + b Find the derivative of h(x) Assume a, b and c are | 5c constants. h'(x) = %3D

A: The objective is to find the derivative.

Q: 6. Determine the derivative of the following functions. Do not simplify. (a) y = 2t° +t+ e² 2 (b) y…

A: Given:           (a) y=2t5+t+e2Differentiating with respect to…

Q: 2. If u3 = a³t, find· d?u where a is a constant. dt2

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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: Evaluate the derivative of the following function.  ƒ1w2= w2 - tan-1w2

A: To determine:Derivative of function f(w)=w2-tan-1(w2)

Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

A: ddxxn=n xn-1

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: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

A: Given information:

Q: Find the derivative of the algebraic function.

A: Given: f(x)=4-3x-x2x2-1

Q: Find the derivative of the function. 4 q(y) = 3y? (2y? + 1) q'(y) =

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Q: х3 — 7 4.) у %3 7 - х' ,3 X y' =

A: Given function, y=x3-77-x3

Q: Find the derivative of the function.

A: The given equation is y=-3t-24.

Q: Find the derivative of the function. z(=) = v + 5 7

A: d/dx (xn ) = n.x(n-1)

Q: Write down the solution and Choose the correct answer Q1) The dervative of the function f(x)= x+2…

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Q: Of the two functions f and g in Figure , which is the derivative of the other? Justify your answer.

A: If the slope of a graph of a function is constant at a point, then the slope of the graph of its…

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

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Q: Write down the solution and Choose the correct answer Q1) The dervative of the function f(x)= x+2…

A: Derivative.

Q: Use the Chain Rule to find the derivative of the function. y = (x + Sx?)-1

A: Derivative of function

Q: Find the derivative of f(x) = e2" (3a? - x)

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Q: find the second order derivatives of function f(X)  exsinxcos2

A: To find the second derivative of the below function. fx=exsinxcos2x

Q: 2x+5 e. y = 3x-2 f. y = (2x? + 2)(x² + 3)

A: Derivative of the function y=f(x) is the measure of rate of change of y with respect to x.…

Q: Evaluate the derivative of the function at the given point. 1 y%3D 4t + 9 .t%3D2 (Type an integer or…

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Q: (a) Use the definition of the derivative to calculate the first derivative f'(x) for the function…

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Q: Use the Generalized Power Rule to find the derivative of the function. y = (1/w^7-1)^6

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Q: Find the derivative of the given function.   f(z)=−1/z^5.9

A: Write f(z) using exponent.

Q: Find the derivative of the function g(x)=x2∫0√1+t2dt.

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Q: 1. Use the Power Rule and properties of derivatives to find the derivative of each function a) f(x)…

A: Here we have to find the derivative by using power rule and the properties of the derivative.

Q: Find the derivative of the function. G(z) = (1 – 3z)2V z? + 1 G'(z) =

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Q: 8. Find the derivative of the following functions with respect to x by using either the product or…

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Q: 4) Find the following derivatives using derivative rules, not the definition. a) f(x) =x -3F+5

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Q: Find the derivative of the function.

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Q: find the derivative of the following function x2y= (y+2) + xysin(x)

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Q: B) Find the Derivative by using the definition for the following 1-x function f(x) = 2x Then find…

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Q: IV. Obtain the 2nd Derivative of the given function. 7. 4y – xy? 1

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Q: (а + 1)(а + 2) y = (а — 1) (а — 2)

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Q: I. Find the derivative of y with respect to x. Use the given relation in its implicit form. d?u 3.…

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Q: Compute for the derivative of y = X - Choose the correct answer. 8 (x – 1)2 x - 1 | 12 -24 (x – 1)-3…

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Q: Find the derivative of the following function. 3. 一 2 +2x 2 y3 5x +x°-2 y' =D

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Q: 7. Find the derivative of the function y = 5² + %3D y = eTextbook and Media Save for Later

A: Given that y=5x+7x3

Q: Evaluate the derivative of the function at the given point. 1 t = 3 8t + 1 y =

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Q: Ose the definition of a derivative to the derivative of the following functions. x + 3 h(x) %3D 2x -…

A: Recall: Definition of the derivative : f'(x) = limh→0f(x+h)-f(x)h Quotient Rule of differentiation…

Q: 8. Find f '(2) if f(x) = [g(x)]*, and g(x) = x + 2

A: g(x) = x+2  f(x) = [g(x)]4  f(x) = (x+2)4

Q: III. Find the indicated derivative of the following. 1. x? -4y? =5 , y"

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Q: 4. The derivative of the function f(x) = r +3) is

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