y = tan 1 -6x3

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 fl6)-32" ). (v²+5) tan (5x

A:

Q: Find the second derivative of y=(tan(2pix))^3

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Q: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

A: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

Q: x) = (5 + 2 sin x)²

A:

Q: Find the derivative of the following function 8x y = In 4x y'=

A: Since the given function is a ratio of two differentiable functions, we use the quotient rule.

Q: Find the derivatives of the functions defined as . y = -6x sin 2x

A: Given: y=-6xsin2x Now differentiate the given function, we get, dydx=ddx-6xsin2x⇒dydx=-6ddxxsin2x…

Q: y = -x°tan(5x)

A: Use the concept of derivative of the form  y = uv and simplify the result.

Q: Find the derivative of the function 2- X= x"sin? (x³)

A: We know that, from the product rule of differentiation ddxfx·gx=fx·g'x+gx·f'x             ⋯⋯1 Now,…

Q: find the derivative. y = csc−1(x−1)

A: Given: y=csc-1x-1. To find the derivative. Solution: We know that, a-n=1an So, y=csc-1x-1 can be…

Q: Evaluate the derivative of the following function. ƒ1x2= tan-1 10x

A:

Q: Find the derivative of the function. y = sin(tan 7x)

A: To solve this type of questions we use chain rule. df(g(x)) dx= f'(g(x)) g'(x)in given ques. f(x)…

Q: y = In

A:

Q: Find. the derivative of tan(x)). with respect to X 1- y3=

A: Explanation of the answer is as follows

Q: Find the derivative of the function. y = (tan-(7x))2

A:

Q: What is the Derivative of the function; y=tan\sqrt{x2-1}

A: Given function is y=tanx2-1. To find the derivative of the function. Solution: Chain rule of…

Q: Find the derivative of the function. y = −6 sin 3x4

A:

Q: Find the derivatives of the functions defined as . . y = -9 sin5 x

A: We have to find the derivatives of the function: y=-9 sin5 x We know the formula of differentiation,…

Q: Find the derivative of the function. X-1

A:

Q: Use the definition of the derivative to find the derivative of the function h(x) = x+3 then find the…

A:

Q: Find the derivative with respect to the independent variable. f(x) = tan (14x) f'(x) =O

A:

Q: Find the derivative: (tan-1t)

A: Assume y=tan^-1(t)so tan y=t

Q: Find the derivative of the function f(x) = 7x sin(4x).

A:

Q: f(x) = Vet + evi

A:

Q: Find the second derivative of y = cot 3x

A: To differentiate the function in the first derivative as y' ordydx  and the second derivative as y''…

Q: f(x) = 2 tan-(x) – 4"

A: Please refer the attached image for complete solution.

Q: Find the derivative of the function. "1(* - VI + x) y = 9 tan

A: derivative

Q: Evaluate the derivative of the following function. ƒ1y2= tan-112y2 - 42

A: Consider the given derivative fy=tan-112y2-42

Q: Find the derivative of the function. y = In(4x)

A:

Q: Find the derivative of y = Arccot (tan 2x).

A: The objective of the question is determine the derivative of the given function.

Q: Find the second derivative of the function f(x) = sin (2x4)

A: This question is related to differentiation, We will solve it using given information.

Q: tan (2x) 3. y = sin (5x–1)

A:

Q: find the derivative. y = (tan −1 x)3

A: Use power rule and chain rule.

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

A: Given Data: Function: f(x)=arcsec(3x) The derivative of inverse of secant of (x) with respect to x…

Q: Find the derivatives of the following function f(x) from the first principal tan 2x

A:

Q: Find the derivative of the following function  X=tan(e-y)

A: Given,  X = tane-y    We have to find the derivative of function.

Q: Find the derivative of the function. f(x) = arcsec(4x) f (x)

A: Explanation of the answer is as follows

Q: Find the derivative of y with respect to x. y = In (tan -1 (9x5))

A: Given : y=lntan-19x5

Q: Find the derivative of the function. y = xV4 - x2 + arcsin

A:

Q: Find the derivative of this function. 9x/(8-tan(x))

A:

Q: y = csc-1 VE

A: We can find the derivative as below

Q: Take the derivative of the following function and simplify: f(x)= tan’(3x²)

A: function      f(x) = tan3(3x2)

Q: y = sin1 + x² SI

A:

Q: Find the derivative.

A:

Q: find the derivative of the given function. f(x)= 3x2- sin(x)/x

A: Given

Q: Which of the following formulas must be used to find the derivative of (tan²x)? sec

A: Y=sec(tan^2(x))

Q: Find the derivative of the fx and evaluate the derivative at the given value of a. f(x)=(sin…

A: Given that, f(x) = (sinx) ln(10x) a = π2 We have to find the derivative of f(x) at point a.

Q: Evaluate the derivative of the following function. ƒ1x2= 2x tan-1x - ln 11 + x22

A: fx=2xtan-1x-ln1+x2

Q: find the derivative of the following function: y=(sinx/3x)+(3x/sinx)

A: Given function is:Applying derivative with respect to x:Distributing the derivative over addition: