If z = cos x - e¹, x = 1² + 1 and y = 5 + ln t, then equals: dz dt

Q: t du/dt = u - u2 ln(t)

A:

Q: Find the derivative. x10 12) y = cos /t dt

A: We differentiate both sides with respect to x

Q: z = f( a, b, d, c), write the exact differential of the dependent variable

A:

Q: By using the exponential definitions of sinh and cosh. show that cosh (t) - sinh (t)

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Q: Find dy/dx. Do not simplify the answer. 4* +4 csc a.) y = log4 x-csc(4) b.) x3 y + cosh¬1 3 = e –…

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Q: -30t si'n got dt

A: We know, ∫eatsinbtdt=eata2+b2[asinbt-bcosbt]+C, C is a constant

Q: ㅈ Sa 0 tan²4t dt = 2

A: The given integral is:∫0π4 tan4t dt

Q: dy Find if y = log5u, where u = cos5x %3D dx dy = - 5tan5x dx dy = 5tan5x dx dy = -tan5x dx None

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Q: Find ds/dt when u = 3pai/2 if s = cos u and du/dt = 5.

A: Given,

Q: Find the given derivative 6 Dx 7x 1 Dx 7x 5 LN +

A:

Q: Find dx/dy if y=4/square root sec x

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

Q: Find 증 dy dx y = xec COS X

A:

Q: 1 Vf(x,y)

A: Given f(x,y)=ln yWe know that ddx(ln x)=1x

Q: 2. Evaluate the following: . /32 dx a. b. /a'e'dt c. [e*se" dx

A:

Q: find dy/dx. g(x) = cos x/sin2 x

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Q: 1. Use implicit differentiation to find dy/dx when x 1 and y=1. у? + ху 3D 2.

A: Given y2+xy=2 when x = 1 and y =1