Solve each of the following equations for y and graph the formula(s) on your graphing calculator. Which one of these equations represents y as a function of x? 7. (A) x² + y² =9 (B) x' +1+y* = 0 (C) y=±Vx-5 2x = 5+ y² (D) (E) ху —4у%7

Q: Solve the following problems involving implicit functions.  1. Find the equation of a tangent line…

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Q: find the values of the derivatives.

A: Given: y=5-2x2y=1-1x To Find:  dydxx=-4=? if y=5-2x2dydxx=3=? if y=1-1x

Q: The function y(x) satisfies the equation 25x2-10y+1/2y2=25. What is the value of the second…

A: 25x2-10y+12y2=25 Differentiating with respect to x, we get…

Q: 1. a) Find the successive derivatives of the following functions: (x' +80x²)* ii) Z (x* +10x +20) 21…

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Q: Solve for the derivatives of the following functions. Write your answers on a separate sheet of…

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Q: Find an equation of the tangent line to the graph of the function at the given point.   y = (e3x −…

A: Given,  The equation of the curve y = e3x-42  We have to find the equation of the tangent line at…

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Q: Find the second derivative (y") of the following function step-by-step and simplify the final…

A: The given question has been solved in detail

Q: Find the first and second derivative of this function: x=(t-2)5/2  y=t3-5

A: We have to find derivative

Q: 1 B2(a): Find the derivative of the function 10x + 4 Y = and simplify the answer: 5x – 4 -

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Q: find the first and second derivatives

A: According to power rule of differentiation , ddx(xn)=nxn-1  and according to sum rule of…

Q: IF THE CURVE OF THE FUNCTION F (X) = Y PASSES THROUGH THE TWO POINTS (2,2) AND (1, K) AND SATISFIES…

A: We have to solve given problem:

Q: 3. Find equation of the curve whose slope at any point is equal to 1– and which Inx x In x passes…

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Q: 6. Find the equation of the curve whose slope at any point (x,y) is xy and which passes through the…

A: 6. We know that the slope of the function is defined as dydx given that xy Therefore, dydx=xy or…

Q: Find the slope of the line tangent to the graph of y = cos 3xat x = 13π/6.

A: The slope (m)  of the line tangent to the graph y=f(x) at point (x1,y1) is given by:

Q: find the indicated derivatives. dr/ds if r = s3 - 2s2 + 3

A: Given: r=s3-2s2+3 for finding value of drds, we differentiate given function with respect to s

Q: Find the slope of a line tangent to the curve of the given equation at the given point. y = x2 - 3;…

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Q: The function is given by implicitly by the equation xy² +x?y+x?y² = 3. Find the derivative of y in x…

A: Here we use derivation in the function

Q: find the first and second derivatives y = x2 + x + 8

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Q: -412 +3 g(x) = I - 1

A: gx=-4x2+3x-1

Q: Find the derivatives of the function y defined implicitly by each of the following equation…

A: Solution: The objective is to find the derivative of the given function implicitly

Q: Write the equation of the line tangent to the graph of the following equation at x = 0. y = In (x5 +…

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Q: Find the derivative of the following: 2a1-32²–1 y = 2 O y' = 4x 23 2 O y' = 4+ O y' = 4 – 2 y' = 4x…

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Q: Solve for the derivatives of the following functions with complete solutions. Use a separate sheet…

A: Given that

Q: 1. Find the derivatives of the following function (a) y=4²+2√² (b) y=++ 2x+3

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Q: Find the first and second derivatives of the functions w = 3z2e2z

A: Given:Assuming the given function is:

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Q: Solve for the derivative of the given equation below. x2+1 f(x) x2-1

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Q: Solve for the derivative of the following implicit function. x2 4. 9. y2 : 1 4

A: Given equation is x29+y24=1

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A: Given that y=log2(x22)

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Q: Find the derivatives of the functions y = (4x + 3)4(x + 1)-3

A: here the given function as use quotient rule of derivative, which states,

Q: 6e + 4 Find the derivative of g(x) 10r5 + 5x3 %3D = (z),6

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Q: Find the first and second derivatives of the functions s = t2 + 5t - 1/t2

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Q: y² x2 + 1 9.

A: Given function is x2+y29=1

Q: 1. Find the derivatives of the following function (a) y=4²-3+2√ 2x+3 2²+8+1

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Q: Find the equation of the curve whose slope at any point is In and which xy2 passes through the point…

A: Point (x1 , y1) = (1, -2) Slope = ln1xyxy2

Q: 8. y = In (x³ + 3x – 4)

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Q: Find the derivatives of the functions y = x3 - 3(x2 + π2)

A: the given function is: y=x3-3x2+π2 we have to find the derivative of the given function.

Q: Find the second derivative of each item. 1. y = x° + 3x2+ 4x 1 2. y = 3. y = /(4 – x2) 4x 4. y = x +…

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Q: Find the first and second order derivatives of the following function: In (25x)-a* q(x)=…

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A: we have to find the derivative of the given expression    the given expression is…

Q: Find an equation of a line tangent to the graph of h(x) =s at x-2 y=6x+13 O у-бx+13 y=6x+12 O…

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Q: Find the second derivative of the function. y = 1/(5x + 1)

A: we have to find the second derivative of y=1(5x+1)=(5x+1)-1

Q: (1) Find the equation of the line tangent to k(r) = (x³ – 5)(x² + x) at the point (1, –8). Write…

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Q: Solve for the derivatives of the following functions. Write your answers on a separate sheet of…

A: Find the derivative of the following expression s