In Exercises 33–46, find the derivative. y = arctan

Q: In Exercises 17-26, calculate the derivative indicated.

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Q: In Exercises 19-40, calculate the derivative.

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Q: In Exercises 7-12, compute the derivative. 7. r( t) = ( t, t 2 , t 3 )

A: Given: r(t)=t, t2, t3 To determine: Derivative of given vector

Q: In Exercises 5 and 6, write the function as a composite f (g(x)) and compute the derivative using…

A: Let us take Then we have By chain rue of differentiation

Q: In Exercises 21-24, calculate the derivative. (t5 – 9r³) dt dx Jo 21.

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Q: In Exercises , find the derivative of y with respect to the appropriate variable.13. y = 6 sinh x/3…

A: We have to find the derivatives of the functions which are in the hyperbolic function form. We need…

Q: In Exercises 33-38, calculate the derivative.

A: Given: ddx∫0x2tdtt+1 for finding derivative of given expression, we will use Leibniz theorem…

Q: Question * The derivative of the function y = x(tan¬1(3x))² is:

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Q: In Exercises 25-28, calculate the derivative.

A: Given  ddu∫1θcot u du At first we find the integral ∫1θcot u du, then find its derivative.

Q: Can you help with this question step by step please

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Q: In Exercises 29–32, compute the derivative at the point indicated without using a calculator.

A: Consider the given function, y=tan-1x it can be written as, tany=x use implicit differentiation…

Q: In Exercises 5-24, compute the derivative.

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Q: Find the derivatives of the functions in Exercises y = 2 tan^2 x - sec^2 x

A: y=2 tan2x-sec2x

Q: In Exercises 19-40, calculate the derivative.

A: To Calculate the derivative:-ddtxt-4t2-x, where x is constant.

Q: Can you help with this question step by step please

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Q: In Exercises 11–28, calculate the derivative with respect to x of the other variable appearing in…

A: By differentiating both the sides with respect to , we have

Q: Can you help with this question step by step please

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Q: In Exercises 33–46, find the derivative.

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Q: In Exercises 33-38, calculate the derivative.

A: The fundamental theorem of calculus ddx∫h(x)g(x)f(u)du=fgx.g'x-fhx.h'x  ....(i) According to the…

Q: O What is the geometric interpretotron of the derivative f'(a)?

A: Considering a function f(x) which is continuous and differentiable on a particular interval, then at…

Q: In Exercises 5-24, compute the derivative.

A: Given :  y = secθθ To find:  dydθ differentiate both sides with respect to θ in the given expression…