Theoretical assignment Consider hyperbolic tangent function

Q: 8. State the location of the x intercepts of the function y = sinx and the vertical asymptotes of…

A: We need to determine the x-intercepts of the function y=sin x and vertical asymptotes of the…

Q: On the curve y = x², find a point at which the tangent is parallel to the chord joining (0, 0) and…

A: To find the point

Q: Use the first derivatives to find the local exterme of f(x) =x³ -12x on R

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Q: Use the product rule to help you find dy/dx for each of the following functions: 13. y = (x²)(2x -…

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Q: Use the four steps differentiation z=r³-2r²+5

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Q: If f(x) = 4x? 6x + 7, find f'(– 2). - Use this to find the equation of the tangent line to the…

A: AnswerGiven f(x)=4x2-6x+7f'(x)=ddx(f(x))wktddx(xn)=nxn-1f'(x)=ddx(4x2-6x+7)f'(x)=8x-6at…

Q: √x √x + √√y = 1

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Q: y = sech 0 (1- In sech 0)

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Q: If ƒ(x) = (6x² − 2) (4x + 6), find: f'(x) = Suggestion: Verify using product rule and by simplifying…

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Q: Find the points on the graph of z = xy +8y where the tangent plane is parallel to 9x + 5y + 9z = 0.…

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Q: Find the tangent to y = sqrt(x2 - x + 7) at x = 2.

A: Given: -

Q: Q4.a) Construct the cubic splines for f(x)=xlnx with x-8.3, x-8.6. Approximate f(8.4) and f'(8.4),…

A: To construct cubic splines for the function f(x) = x * ln(x) using the given data points x = 8.3 and…

Q: calculate the value of coth-1(x) when x is greater than 1

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