In Exercises 5-24, compute the derivative. H(t) = sin t sec² ¢

Q: In Exercises 45–74, compute the derivative using derivative rules that have been introduced so far.

A: y=sinx2cosx2

Q: In Exercises 45–74, compute the derivative using derivative rules that have been introduced so far.

A: given: y=xcos(1-3x)

Q: Compute the derivative. H(t) = sin t sec2 t

A: Here given the function as H(t)=sin t sec2t

Q: In Exercises 13–24, compute the derivative using derivative rules that have been introduced so far.

A: We will use the power rule first and then use the chain rule   y=(x2+9x)-2 y'=-2(x2+9x)-3ddx(x2+9x)…

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

A:

Q: Use part one of the fundamental theorem of calculus to find the derivative of     NOTE: answer is a…

A: Given:

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

A:

Q: In Exercises 39-42, calculate the higher derivative.

A: Consider the following equation: y=tanx                                 ...... 1

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

A:

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: In Exercises 13–24, compute the derivative using derivative rules that have been introduced so far.

A: Given: y=cos9θ+41 we know that ddxcoskx+c=-ksinkx+c where, c is constant

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

A: The given function is y=1-t2+sin-1t

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: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(s) :…

A:

Q: In Exercises 45–74, compute the derivative using derivative rules that have been introduced so far.

A:

Q: Find the first and second derivatives of the functions in Exercises 33-38. 1? + 5t – 1 - 34. s =

A:

Q: In Exercises 39-42, calculate the higher derivative.

A: The given function is y=etsin t. Obtain the derivatives as follows.

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

A: y=2 tan2x-sec2x

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of r10 F(z) tan(t?)dt F'(x)…

A:

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

A: We have to calculate the derivative of the function: ddt∫100tsec5x-9 dx This will be solved by…

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

A: We have to find the derivative of the function: fx=2x4-4x-1sec x We will use following formula of…

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

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

Q: Use the definition of the derivative to find the derivatives described in Exercises 55-58. d² 55.…

A: We have to find the derivative

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: In Exercises 13–24, compute the derivative using derivative rules that have been introduced so far.

A: Consider the given function as y=cos4θ

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

A: To find the derivative

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…