What is the derivative of f(x) sec(tanx)?

Q: Find the derivative of h(x) tan 3x+cot 3x

A: Solving the problem by finding the derivative of the function.

Q: Find the derivative of f(x) = sin x²+ cos x if f'(2)

A: Given function is fx=sinx2+cosx. It is differentiated as follows by using the sum rule of…

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 derivative of f(x) = 3x° cos(x). 8 CoS f'(x)

A: Given query is to find the derivative of the function.

Q: Find the derivative of y = (tan x)cos: COs x .

A: Given : y=(tanx)cosx

Q: Find the derivative. g(x) = tanh-1(x?)

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Q: Find the derivative of the function.

A: To Find the derivative of the function. y = ln sec x + tan x

Q: Derive the formula for the derivative with respect to x of csc x.

A: We will write cscx= 1/sinx  Then we will use the quotient rule to differentiate

Q: What is the derivative of f (x) = cosh(x) + sinh(x)?

A: Given that f(x)=cosh(x)+sinh(x) find the derivative of f(x)

Q: Find the derivative of f(x) = tan(sin(2x))

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Q: Find the derivative of the function. y = sec 2  x  +tan 2 x

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Q: Find the derivative of f(x)=e^(tanx)

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Q: Find fifth order derivative of the function f(x) = x*Sin (2x +1) by using Leibnitz theorem.

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

A: Given function is

Q: Find the second derivative of the function.

A: Given: fx=sec x To Find: The second derivative of the given function

Q: Compute the derivative of f(x) = sin2x

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Q: Find the derivative of the function 3 tan (x- 2 1 x y

A: Given:

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

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Q: Find the derivative of f(x)=arctan(1/x) and simplify

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Q: Find the derivative of the function. f(x) = 6√x + 5 cos x

A: To find the derivative of the given function f(x).

Q: Estimate the derivative of f(x) = sinx atx = ~-

A: Consider the provided function, fx=sinx at x=π2 Find the derivative of the function. First, we…

Q: Find the derivative of the function .

A: Given a function f(x)=2x3+3 cos x f(x)=2(x)1/3+3 cos x      =2x-1/3+3 cos x We, use the following…

Q: 3. Find the derivative of f (x) tan (5x + 7), by first principle of differentiation

A: Given function is By first principle of differentiation, we have

Q: Find the derivative of f(x) = sin x²+ cos x

A: fx=sinx2+cosx

Q: What is the derivative of f(x)=−cos(x)+4sin(x) at the point x=−π/2?

A: We will find the derivative as following.

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

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Q: Find the derivative of f (x) = -4 tan (x).

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Q: What is the derivative of f(x) = tan-(x)? %3D

A: We can solve this as follows:

Q: Find the derivative of f(x) = tan (cosx) ++

A: Important Derivatives:1. ddxxn = nxn-12. ddx tanx = sec2x3. ddx cosx = -sinx

Q: (a) h(x) = tan(r'sinx

A:

Q: Find the derivative of f (x) = sin (5x) %3D

A: The given function is f(x)=sin3(5x)                     differentiate with respect to x,

Q: Find the derivative of the secant function y=secx.

A: The give function is y=secx.

Q: Find the derivative. f(x) = 2^x {ln[cot(x)]}^2

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Q: 3/ By using the definition of derivative, proof that tan x = sec? x. %3D dx

A: By definition of derivative , f'(x) = d(f(x)dx= limh→0f(x+h) - f(x)h L Hosital's Rule :When limit is…

Q: Derive the formula for the derivative with respect to x of sec x.

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Q: Find the derivative of f(x) = x cos x using the product rule.

A: The given function is fx=xcosx.

Q: 5. f(x)%3D + cos X

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Q: Find the derivative of h(x) = (1+ cos x)*

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Q: Find the derivative of f(x)=(sinxcosx)1/2

A: Given the function,

Q: Find the derivative of f(x) = sec(tan(x) + cot(x))

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Q: Find the derivative and simply. 1+cosx (a) f(x) = 1-cosx

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: f(x) = x' tan (5x)

A: Explanation and solutions is given below....

Q: Find the derivative of f(x)=sec(x)

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Q: f(x) = cos vx

A: The derivative is defined as f'(x)=limh→0f(x+h)-f(x)h.

Q: f(x) = 3 sin 1 (x²)

A:

Q: Find the second derivative of f(x) = tan x.

A: Given function is, f(x)=tanx.

Q: Find the derivative of  f(x) = tan(cos(x^2))

A: f'(x) = d (tan(cos x2)dx  f'(x) = sec2(cos(x2))d cos x2dx               because   d (tan(x))dx =…

Q: State the notation/symbol for: derivative of y with respect to x derivative of f(x) second…

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

Q: Find the derivative of the given function by using definition of derivative  f(x)= sec(x)

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Q: Find the derivative of the function. y = sin(tan 8x) %3D

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