Use forward-difference formula to evaluate the first derivative of y = cos(x) at x = cos(x) at x = using value of h = 12' O 4(√3-3) ㅠ O 12(√3-1) ㅠ O 6(1-√2) ㅠ O 6(-1+√2) π ○ 6(√3-√2)

Q: What is the 2nd derivative of x9 cos x

A: To find out the second derivative of the function.

Q: Evaluate the derivative of y = cos '2x - In 1-4x, where x = 0.125 -12> 2

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Q: Find the 7th derivative of: f(x)=sin(x)cos(x) f’=? • • •

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Q: Does the function cos x х f(x) = 0, x = 0 have a derivative at x = 0? Explain.

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Q: Use three-point midpoint formula to evaluate the first derivative of y = cot(x) at x = using a value…

A: We have to evaluate the first derivative of y=cotx at x=π2 using a value of h=π4 by using…

Q: Find the derivative f'(x): f(x)=x4-x2+sin-1x/3 **4-x2 is under a radical sign!

A: Consider the given function f (x) taking (4-x^2) under the radical sign. Differentiate f (x) w.r.t x…

Q: Find the first derivative x2y + y2-2xy =5                   Use implicit differentiation

A: The given equation is x2y+y2-2xy=5. Assume y is a function of x. By implicit differentiation, find…

Q: Solve for the derivative of y=sec3(2-3x) With the answer 9 sec3(2-3x)tan tan (2-3x)  Show…

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Q: Calculate first 8 derivatives of f (x) = sin(x). What is the pattern and what's the 208th derivative…

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Q: Find sixth order derivative of the function f(x)=(x-5)^7.cos(5x) by using Leibnitz theorem.

A: n! = n × (n-1) × (n-2) × (n-3) × (n-4) × ............ × 1

Q: Find a formula for y" (the second derivative) if y = 2* · sin x.

A: Given that, y=2xsinx            ...(1)

Q: For the equation given below, evaluate y' at the point (2, –1). y'at (2, -1) = e³ + 10 − e¯¹ = 2x² +…

A: To find derivative of the given function.

Q: Find the first derivative of the function 3 cos x y = x? sin(2e*)- ex Show all the works clearly.…

A: The given function is y=x2sin2ex-3cosxex.