(a) If g(x) = (tan t)³ dt, find g'(x). (b) If h(x) = | (tan t) dt, find h'(x).

Q: Part 4: A derivative computation using the FTC and the chain rule d d (F(2*)) = dx dt |3| e dx 20

A: Topic:- application of integration and derivatives

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A: Use fundamental  theorem of calculus

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Q: Calculate the derivative e12x d In (t)dt dx using Part 2 of the Fundamental Theorem of Calculus.…

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Q: I. Find an equation of the tangent line to the graph of 1 t cosh (t² – 1) dt - f (x) = 1 tan-t 1+ln…

A: The given function is fx=∫1+lnx1tcosht2-1tan-1t dt.

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A: follow next step

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Q: (§5.5, Q34) Calculate the derivative d dæ ), Vi dt.

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A: Given,

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Q: (a) By using the chain rule and the derivative if x>0 (1, -1, if x< O' d (\xl) = dx | d find - (lx3…

A: Just break the mod function in two parts and easily calculate the derivative.

Q: Can i get help step by step please

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of y=∫x4x√t√sin(t6)dt…

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Q: Example2: Find the derivative of w=xy+z if x=cos t ,y=sin t &z=2t?

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