g. y = ex² +1 h. y = esinx y = ln(sin x) i. j. y = ln² + e√x X 6. L

Q: Describe geometrically when a function typically does not have a derivative at a point.

A: To describe geometrically when a function typically does not have a derivative at a point.

Q: Describe what a partial derivative means geometrically.

A: Describe what a partial derivative means geometrically.

Q: Explain the relationship between a function and the derivative by providing an example.

A:

Q: What are the maximum and minimum values in application of derivatives?

A: We have to define the maximum and minimum values in application of derivatives.

Q: The equation that describes the volume of the conical shape RELATES the quantities : volume, radius…

A:

Q: Find the derivative of y = ÷+; x2

A:

Q: How can you use directional derivatives to estimate change?

A: Let f be a differentiable function. The directional derivative of f in a particular direction at a…

Q: 8. y = (3x² + 7)² %3D

A:

Q: Find the derivative

A:

Q: use the reciprocal rule or the quotient rule to determine the derivative of the function.…

A: Given :Bu=u2u+1To find the derivative of the above function using reciprocal rule or quotient rule.

Q: Find the derivative of the function y = x²e\" Select one: O a. xe"(3 – 2x) O b. xe"(3 + 2x) O…

A: rule:chain rule of derivativeddxg(x).h(x) = g(x) ddxh(x) +h(x) ddxg(x)

Q: 1. Explain using the difference quotient how derivatives from first principles provide us with the…

A:

Q: x - 9y)? + 7y = 27x

A:

Q: How do you use the second derivative test to analyze concavity of a function?

A: We know that, If the second derivative of the function f(x) is defined on an interval (a,b) and…

Q: Vt+3 Find the derivative of the given function.

A:

Q: How do you find the derivative of the quotient of two functionsthat are differentiable at a point?

A: Given: Let f and g be two differentiable function at point x.

Q: Derivative - 16sin4x

A: Given: 16sin4x

Q: x²-1 4. f(x) = x²+1

A: We have to find the first derivative of given function using definition of derivative.

Q: Find the derivative of y= 3 3xL 15x-2

A: Given: y=3x5x−23

Q: Vx+1(2-x)5 8) y = (x+3)7 Find the derivative

A: We have to solve

Q: How do you find the derivative of the product of two functionsthat are differentiable at a point?

A: Consider the two functions f(x) and g(x). f(x)·g(x)'=f'(x)g(x)+g'(x)f(x). Here f(x)·g(x)' represents…