11:2 +¸µ¹¹:¹² + z ¹¹12 Prove that x12 denote differentiation w.r.t.s. = 1 p² 0² + 1+p²². 04 11 1 R² P .+

Q: determine where I is increasing / decreasing -max/min -Concalle up/down -inflection Parts -Whetch…

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Q: Let f (x) = 6 sinh 1(tan(x) , O < x < 5. Find the slope of the line tangent to the graph of f at the…

A: Given: Here, we need to find the tangent line to the graph of f at the point on its graph where…

Q: Course ty of Technology and Applied Sciences - Ibri search Mohammed Rashid Al Ala y courses /…

A: Now we will find the derivative of the   given problem by implict differentiation.  And we will…

Q: Use the product rule to differentiate the function h, where a and b are real numbers. h(x) = e¯ax…

A: According to product rule, if f(x)=u(x)*v*x) then f’(x)=u(x)*v’(x)+v(x)*u(x).

Q: t' sin(2t n(21*)dt Evaluate

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Q: /hich functions are continuous for all real numbers? i.y = xi ii. y = e* iii. y = tan x

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Q: Differentiate the following function 3 U = ²³² √² + ² + 2 u= +2√+³

A: Derivate with respect to t

Q: tan x 1. Differentiate the function: Y = ea* In x

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Q: If y- sinhx then prove that = dx

A: Fundamental inverse Trigonometric Identities: →cosh2y - sinh2y = 1 Basic derivative:…

Q: Examine whether the following function is Analytic or not ¹() (z) = ln(x² + y²) + i tan-¹

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Q: Compute the derivatives of the fallowing functions. use any rule but explain what ar methed, did No…

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Q: Show that tan-1 ( 1/v ) = π/2 - tan-1 v, if v &gt; 0.

A: To prove tan-11v=π2-tan-1v, let  x=tan-1v then tan x=v1tan x=1v Since  tanx=1cotxcotx=1v ⋯ (1)

Q: 2t Show that f/² sin tdt ≥ 7. (Hint: sin t ≥ ㅠ over [0, 1].)

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Q: Now H= [² 2 id 2² H эрг = Ho 2² [Ho Sin (Kr_wt)] ar 2 [2 Ho Sin (Kr- wt) Ho 2/ [cos (kr-wt) x] K Ho…

A: They have derived the partial derivative. Our aim is to explain the derivative rule.

Q: Is the function h(x) = 3 cos x+ sin x concave up or down at the point 3 я?

A: Given:

Q: Prove dx dx 1 f ( sec -x+tan –I 2 1 | f (cosecz) %3D Vsin r sin x

A: Apply trigonometric properties to prove the result.

Q: Find the first derivative of sin x y = In 1+2 In x x cot x-2(In x) cot x-2 x(1+2 In x) x cotx+2(In…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use Part 1 of the Fundamental Theorem of Calculus tofind the derivative of the function.

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