f(8,t) = cos os(0e*) + cos( + e*) = COS + cos (s+

Q: cos x y = %3D sin x + 1

A: Given,            y = cos xsin x + 1

Q: L(x) = In(x)+log,(x)

A: Used formulas : ddx(logax) = 1x ln a ln x = loge xloge e = ln e = 1ln 5 =1.61

Q: Use the Chain Rule to find the derivative of the following functions.

A: To find the derivative of y=1-ex4 using the chain rule. Solution: Chain rule of differentiation…

Q: Find the derivative of the given function. y = (4x2 + 4x)2 %3D O 32x° + 48x2+ 16x 64x + 96x2 + 32x O…

A: That's easy. Have a great day!!!

Q: (5 + 6t)7 16x* +6sec(x) x-3cos(x) In(x2 – 1) 2e3x + ex³

A:

Q: 29. f(x) os(1/x)

A:

Q: Differentiation. Find the value of the derivative of (iz³ + 15z²)³ 3 at 10i. [(iz³+152²)³] -405000…

A: The given problem is to find the value of the derivative of the given complex function at z=10i by…

Q: d²y d²y dy + d dt. d dy dy = ay + by dt dt. dt dt2 dt2 dt

A: We find the value of a,b,c and d.

Q: 3. Sketch the graph of the derivative of the function below.

A: A rough graph can be plotted as values are not given in the given graph.

Q: cos (5x-0.1) w(x) =- e*

A:

Q: 35. y = w² sin w+ 2w cos w 2 sin w 36. y = -x³ cos x + 3x² sin x + 6x cos x − 6 sin x 37. y = 38. y…

A:

Q: y = In [7– 4x² +8x']

A:

Q: Find the gradient of the functions below a)f(x, y) = In Vx? + y?

A: Here we will find out the required value.

Q: Find the derivative and state the domain of f(x) = In(x + 4) %3D

A: In this question, concept of derivative is used. Derivative The derivative expresses the rate of…

Q: 4. Find the indicated higher-order derivative of the given functions. d'y а. у %3D 8е* + sin x; dx7…

A:

Q: xsin (y) + ycos(x) = 1

A: To find the derivatives of the given functions.

Q: e) s = cos (1– 21) -2 4t f) y = t+1, .2 x + x g) y =

A: