-32²-7z Let f(z) - (a) Compute the derivative of f. f'(z) - P₂ a b √a la a b (b) Find the indefinite integral of f. Use capital letter C as the constant of integration. [ f(x) dx = √a k |a| sin (a) k B sin (a) E

Q: Differentiate the function. 8 + sin(t) f(t) cos(t) (a) f'(t) = Find f'(T). (b) f'(1) =

A: a:Here, f(t) =(8+sin(t))/cos(t)The derivative of f(t) is calculated as follows:

Q: Evaluate the derivative (r1(t) × r2(t)) where r1(t) = and r2(t) =. (Use symbolic notation and…

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Q: Let f(x)=tan−1x. Characterize the interval (a,b)(a,b) such that f-1 (a,b) is empty.

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Q: Find f if ∇f=4xyi +(2x^2+8y)j f=____

A: Find f if ∇f=4xyi +(2x^2+8y)j f=____

Q: Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* +…

A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

Q: d 1+ sin² (2)| dz

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Q: 3. Consider the function f (x) = sin² x + sin x on the interval (0,2n). a) Find the open interval on…

A: The given function is fx=sin2x+sinx on the interval 0,2π. a) Obtain the first derivative of the…

Q: Find approximate value of the derivative for f(wo)-6f(x1)+3f(x2)+2f(x3) fr(x2) = f(x) = 10 sin(20æ?)…

A: Introduction: Numerical differentiation is the technique of obtaining the numerical value of a…

Q: If f(x) = sin(x³), find f'(x) Find f'(5)

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Q: (d) Let h(x) g(f(x)). Use the figure below to find h'(1) or state why the derivative does not exist.…

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Q: Use the product rule to find the derivative. f(x) = (3x - 2)(6x + 1) %3D O f(x) = 36x - 4.5 !3! O…

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Q: 50 Find the derivative of ƒ (t) = (3t³ – 6t2 + 11 )".

A: Explanation: Given that: ft=3t3-6t2+1150 Concept used: dxndx=nxn-1

Q: Determine the anti derivative of the function please

A: Here given function as fx=3ex+11-x2-2sec2x-71+x2