Find the derivative of the foll owing functions. Show complete solutrons, including trigonometrie identitier D- Hyperbolic Functions H y= cosh Cdx-1) 22 y= In tan h? 3x. 3-) y= Are sin tanh x 3:)

Q: Use the graph of f ' shown in the figure to answer the following :- (see the graph as attached  here

A: This question is taken from an indefinite integral in which we have to use substitution to get the…

Q: Prove the formula for the derivative of a) (Inverse of cotangent) b) (Hyperbolic cosecant) y = csch…

A: formula for derivative of both function is following:-

Q: Find the derivatives of each of the following functions f(x)=-2 sinx b) y=-cos²x c) y = 3x sin x d)…

A: find the dervative

Q: Which of the following is the tangent equation drawn to the pi/4 point on it? y = 25 - tanx curve…

A: This question is based on straight line. The general equation of a straight line is            y =…

Q: 4. Determine the equation of each graph in the form y=tanb(x–c). -TT y = tan x + y=tan(2x) -3TT/4…

A: According to answering guideline we have to do only one question if multiple questions are given so…

Q: Find of the fo lloming function the derivative Tin C A y'= (Sinsc) oc Sin 6-1 Sinac +Inx cos scl +…

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Q: Determine the exact value (no decimals) of the slope of the tangent line to πT f(x) = −2 sin x at…

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Q: Show algebraically where the tangent line of the function r=1+cos theta is vertical and where the…

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Q: 4. The 1" derivative of y : cotx a) xsec?x + tanx b) xsecx - tanx c) cot x + xcsc'x d) cot x - xcscx

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Q: SUBMIT BY 12 PM of the tangent line r = 1 + 2 cos Find the slope at the > given 0 = π/3 point

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Q: the contour diagram of o decide if the specified directional derivative is positive, negative,…

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Q: sin 0.5 va Find the first-order derivative of y = at x = 2 and h = 0.2 a.) Forward difference b.)…

A: Three approximations to the derivative of function f(x) at x=k are 1.  the one-sided (forward)…

Q: 6) By implicit differentiation find a) xy + y² = 2 find d²y/ dx² %3D b) sin(x²y²)= x find dy/dx

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Q: \lim_{x\rightarrow 7}\frac{x^2-5x-24}{x^2-4x-32}x→7lim​x2−4x−32x2−5x−24​

A: find out the limits of  a)limx→7 x2-5x-24x2-4x-32 b)limx→7x2-4x-32x2-5x-24

Q: Let y= 3 cos x-5 cot x+ csc x tan x, then the slope of the tangent line at x = is 4

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Q: 7. Use implicit differentiation to find two equations between x and y such that the tangent line to…

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Q: Find the derivative: 5.) y = cos 4t

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