A ball is thrown in the air and follows the displacement function s(t) = -t² + 2t + 15 S where time 't' is in seconds and the displacement above the ground in meters. Find

Q: 6x² – y² = 9 =D9

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Q: What is the derivative of the function f(x) = 2x + 3 at the number x = 4?

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Q: 2x f (x) = Vx+1

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Q: Find the fourth derivative of ƒ (z) = 2z¬3 f(4) (z) –

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Q: Зх-1 5. y = 2х+5

A: We will find the derivative by using the delta function.Below find the solution with details…

Q: Find the derivative of the function. + 2 (x) = ex2. f'(x) %3D

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Q: Please find the equation of the tangent to f(x) =2* at the point (3,8)

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Q: Find the derivative of the function without using the Quotient Rule. y 63 8(x)10

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 2. Y = (7x³ + 3)6 ; y"

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Q: 6. R(z) Vz3 8z4

A: ddxxn =nxn-1ddx1xn =-nxn+1 ddxx =-12x

Q: Calculate the derivative. f(x) = ex(x 2 + 1)(x + 4)

A: Here given function as fx=exx2+1x+4

Q: Find the derivative. I+5 = (x) 6 12 + 2 Select one: 2 (z + 5) (-x² – 10z + 2) g' (z) 2,

A: Here we have g(x)=x+5x2+22

Q: Find the derivative of ƒ (æ) = (8x (8z4 – 32 30)°. f' (z) =

A: Given,

Q: Find the derivative using the appropriate rule or combination of rules. y = (4t + 9)1/2

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Q: Find an equation for the line tangent to the graph of  f(x)= 2xex at the point (3,f(3)). y=?

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Q: calculate the derivative. y = cosh2(9 − 3t)

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Q: Find the derivative of the function. Express the answer using positive exponents only. y = (4x5 –…

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Q: For the function y= 9x^2+8x+4,at the point x=4, find the following (A) the slope of the tangent to…

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Q: What is the instantaneous rate of change of f(x) = 3x + 5 at xo 1?

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Q: Find the derivative, but do not simplify your answer. 2 3 y = (x + x + 4)Vx – 2/x + 7 -

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Q: Find the derivative of the given function.     y=16z2+14z

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Q: Find an equation of the tangent line to the curve y=8ln((x^3)-26) at the point (3,0).

A: To determine equation of tangent line at given point.

Q: What is the fourth derivative? x^12+1

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Q: Find the derivative (x) = 2 In x – Vĩ

A: Given: fx=2lnx-x   As we know that; The sum/difference rule:  f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: How do I find the derivative of g(x)=sinxcos(5x2)?

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Q: Find the derivative. 2 f(x) = 6/6x +3 f'(x) =D %3D

A: Given : f(x) = 6√(6x2+3) Now we have find derivative of this

Q: 1 y= V2x? – 5

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Q: one leg of a right triangle is 1 in/min and the other leg increases 2 inches per min. What is the…

A: Let the first leg of the right triangle be a and the other leg be b. Let the hypotenuse of the right…

Q: Estimate the derivative of the function f(x)= 7 –9x at the point x = 6 using the balanced difference…

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Q: What is the equation of the tangent line to the function y=x²-1 at a point (2,3)?

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Q: Find the first derivative, show all your work i(x)=2^{-0.8x+35.032}

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Q: Find the derivative. h(x) == 2* %3D

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Q: What is the derivative of P at the moment that x is 5 and P is 13 and derivative of X is 8 for the…

A: Differentiate the equation with respect to "t".

Q: the side of a sqaure is 10 cm. find the approximately, by using differential, the increase in the…

A: Given that side of a square a is 10cm and it is increased by 0.02cm.

Q: Find the equation of the line that is tangent to y = 2log3(x + 1) and is perpendicular to the line y…

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Q: Find the derivative of f (x) = V7– 4x. To enter va, type sqrt(a).

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Q: Evaluate the second derivative of the function below at (1, -2). y² = x³ = x + 1 -

A: To evaluate the second derivative of the function at the given point.

Q: Find the derivative 1. y = Vx² – 5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 1 EX-1- Find the derivative of the function : f(x)= /2x+3

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Q: Use the Chain Rule to find the derivative.

A: First of all, consider the formula for the chain rule and the given function y. Then assume u and v…

Q: What is the equation of the line tangent to f(x)= 4x²+2x-1 at x=O?

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Q: Find the derivative of the function of: a) y=sec33x b) y=csc2(2x2)

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Q: Find the nth order derivative of the function y=32x+1.

A: We use the chain rule to find the first 4 derivatives.

Q: Find the derivative of the function y = sech 5x2

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Q: Find the derivative of the function. Vs -6 f(s) = Vs +6

A: Quotient Rule

Q: Find the derivative of the function. y = 9tan−1(x-sqrt(1+x2))

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Q: Find the second derivative of the function. x* +8 y = 2

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Q: Find the derivative of the function y=(x+4)3 without using the power rule.

A: Given function is y=x+43. To find the derivative of the function without using the power rule.…

Q: Find the derivative of the function without using the Quotient Rule. y = 63 8(x)10

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Q: Find the equation of the line tangent of f(x) = 3x - e-5x when x = 0.

A: f'x=3-e-5x-5=3+5e-5x We know that the slope of the tangent at x=a is f'(a). So the slope of the…