find the first derivative f'(x) at the point x 1.3. Use two point central difference

Q: Compute the derivative using derivative rules. y = sin(x2) cos(x2)

A: Given: y=sinx2cosx2

Q: h(x)=(x° +1} (2x+5)*

A: Given : hx = x2+132x+52

Q: Find the derivative of the function. Simplify where possible. f(x)   = x In(arctan x)

A: Given: The above function contains two functions, so the product rule is used to differentiate.

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

A:

Q: Calculate the derivative with respect to x of the other variable appearing in the equation. exy =…

A: Given, exy=siny2

Q: In y = 22 cosh1 2x

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Q: fla)=-sinx (): In, Cosx

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Q: Find the nth-order derivative of the function y=arctanx at the point x=0.

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Q: Find the derivative of the function. 1-X y arctan, 1+x y'= I3D

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Q: 14. If x2 + y2 13, find at (2, 3). dx2 %3D

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Q: f(x) = Arctan csc² ( 3x

A: Some derivative formulae: ddxtan-1x=11+x2ddxcscx=-cscx cotx Chain rule of derivative:…

Q: 45. y = cos vsin(tan x)

A:

Q: Find the derivative of f(x) = (Cosx)*

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Q: (x²+1)* V1-x y = In

A: Use the chan rule of derivative then simplify the result.

Q: Compute the derivative. (x) = ex sinx

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the derivative of ¤(x) at x = /3/2 where rsin-'(x) $(x) = eº tan 0 do. x2

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

A: Given function is y=ex-12. To find the derivative of the given function. Solution: Chain rule of…

Q: Find the derivative. Simplify where possible.  f(x)= ex cosh x

A: Given function is

Q: Compute the derivative of y = ln ( – V1 – 2 cosh x (x° + 2) |

A: To compute the derivative of,  y=ln1-2 cosh x .x3+2x.x-1.

Q: Find the derivative of the function f(x) = tanh(4x2 + 3x)

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Q: 13. f(x) = e* In x

A:

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Find first the derivative as shown below: f'x=ddx-5-x2        =125-x2ddx5-x2       =-125-x2-2x…

Q: Find the derivative of: 3 sin (– 3x). Hint: sin (x) = [sin(x)]"...so use the chain rule (twice!).

A:

Q: Find the derivative using the long method y = sec x

A:

Q: Estimate the derivative of f(x) = sin x at x = π/6.

A: Given,       f(x) = sin x at x=π6

Q: Compute the derivative using derivative rules. y = tan(x 2 + 4x)

A: We have to compute the derivative of the function: y=tan x2+4x We know the formula of derivatives,…

Q: 8. Find the derivative of y = x arctan 2.x --In(1+4x). -- - 4.

A:

Q: find the equation of the tangent line to the graph of f(x) = x^3 + 3x^2 at the point (1, 4) without…

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Q: Find the derivative of the function f(x.y) = tan -1 y at the point (4, - 4) in the direction in…

A:

Q: Find the first derivative of: sin(x+y)+cos(x-y)=3

A: Given,           sinx+y+cosx+y=3 The objective is to find the first derivative.

Q: Find the derivative of the function y = x² cosh²3x

A:

Q: Estimate the derivative of f(x) = sinx at x = π/6

A: Since,it is known that the derivative of the function with any variable measures the rate of change…

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

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Q: Find the derivative of the function y= arctan x +x/1+x2

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Q: Find the derivative of the function. f(x) = arctan(3x)

A: We  can make it easier for you.

Q: Find the derivative of f(x) = (x2-ex) tan x

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Q: Find the derivative of the function y = arctan x+ 1+x?

A: To find: The derivative of the function . Calculation: Find the derivative of the function.

Q: h(x) = tan(x' sinx) sinx (b) y= - V1+ cosx

A: Topic = Derivative

Q: Find the function ƒ(x) whose derivative is sin x and whose graph passes through the point (0, 2).

A:

Q: Calculate the derivative at the point (0,0) of the function given by the equation x=y−2siny.

A: We differentiate both sides with respect to x

Q: Find the value of the derivative of the function y=sinx/3 at x=2π.

A: Here given as Differentiate the above function with respect to x

Q: x² q(x) =- sin(x)

A:

Q: Find the derivative of the function. y = x² cosh²3x

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Q: Compute the derivative of the given function. f (x) = 2 ln x – vT

A: Given fx=2lnx-x To find the derivative:

Q: Find the values of x in the interval [0,2π] where the tangent line to the graph of y= sinxcosx is…

A: Given:y=sinxcosx,     [0,2π]

Q: Calculate the derivative of y=tanx using the quotient rule.

A: Given that, y=tanxy=sinxcosx        Using tanx=sinxcosx

Q: Find the derivative of the function. y = ln∣sec x + tan x∣

A: given function, y= ln | sec x + tan x| we have to find the derivative of the given function

Q: What is the 2nd derivative of y=cosh(x+y)?

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Q: Find the derivative of y = arccos x + x 1-x²

A: