·g(t) = cos(e*) Arcsin(3t + 2) j(t) = In(sin (t) - nt %3D sin(Arccsc 02)+n ·g(0) = cot n0

Q: 5. h(x) — 2л? (Зл2 — 5х + 11) -

A: To find the derivative of hx= 2x23x2-5x+11

Q: Decide, whether the function w = z2 + 3z has a derivative (and where) and then find it.

A: Complex number: A number of the form z=x+ιy where x and y are real numbers, is called a complex…

Q: Set Y1 = ex and use your calculator’s derivative command to specify Y2 as the derivative of Y1.…

A: Consider the function: y1=ex.   Calculate the derivative of the function y1=ex and let it be y2.…

Q: y= log10 (3x2-5)

A: To calculate the derivative of function y =log10(3x2-5)

Q: y = 9x — x3; (2, 10) -

A: We have to find the derivative of the function .Also we have to evaluate the derivative at the point…

Q: n is bounded and monotonic for all n. n +1 6. Show that the sequence An

A: The objective is to solve the above question.

Q: Use the product rule to find the derivative of the following.:y = (2x - 5)2

A: we have to use the product rule to find the derivative of the given function. y = (2x - 5)2…

Q: 1. Sketch the graph of the derivative of the function:

A:

Q: Find the derivative by the definition of each of the following functions: - + 2x

A:

Q: y = x² - ²₁ (-2,5)

A: Derivative by defination rules

Q: y=etan 3x

A: We find the derivative of y=etan(3x).

Q: 1 (a) y = Va2 -- csc(2x) + 3 +1' (b) y = sin x

A: Compute the derivatives of the following functions (a) x2/3-cosec(2x)+1/π (b)( (x2+1)/sinx)3

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: If the first derivative is positive, the function is [Select] If the first derivative is negative,…

A: Answer...1. Function is Increasing.2. Function is Decreasing. Explanation: 1. If the first…