Finding a Derivative In Exercises 13–32, find
the derivative of the function.
h(s)=-2 \sqrt{5 s^{2}+3}
Q: Evaluating a Derivative In Exercises 65–72, find and evaluate the derivative of the function at the…
A: remember this:…
Q: Finding a Derivative In Exercises 7–26, usethe rules of differentiation to find the derivative ofthe…
A: Differentiation is a method that used to find the rate of change of a function . Let one variable be…
Q: Finding a Derivative In Exercises 7–26, usethe rules of differentiation to find the derivative ofthe…
A: Given: 9. y=x7
Q: Finding a Derivative In Exercises 7–26, usethe rules of differentiation to find the derivative ofthe…
A: Given function: y=x12
Q: Finding a Derivative In Exercises 13–32, findthe derivative of the function. y=\frac{1}{\sqrt{3…
A: Our Aim is to find the derivative of the following function given below:-y=13x+5-(i)
Q: Finding a Derivative In Exercises 13–32, findthe derivative of the function. y=\frac{1}{\sqrt{3…
A: Given: y=13x+5
Q: Finding a Second Derivative In Exercises 89–92, find thesecond derivative of the function.89. y =…
A: given, y=8x+53
Q: Constant Rule What is the derivative of a constant function?
A: Let f(x)=a be constant function
Q: Horizontal Tangent Line In Exercises 63–70,determine the point(s) (if any) at which the graphof the…
A: Tangent line is horizontal if the slope of the function is zero, and the line is horizontal with…
Q: Horizontal Tangent Line In Exercises 63–70,determine the point(s) (if any) at which the graphof the…
A: given y=x+4exTangent of the given functiony'=ddxx+4ex=1+4exnow for the tangent line to be horizotal…
Q: State the first-derivative rule. The second-derivative rule.
A: Click to see the answer
Q: Finding a Derivative In Exercises 7–26, usethe rules of differentiation to find the derivative ofthe…
A: y=x7
Q: Can I get step by step helpn with this problem?
A: Given function is
Q: Can I get step by step helpn with this problem?
A: Click to see the answer
Q: Can I get step by step helpn with this problem?
A: The given expression is as below
Q: Derivative Calculations In Exercises 1–12, find the first and second derivatives.
A: We use the power rule to find the first derivative. Power rule: d/dx(x^n)= n*x^(n-1)
Q: Can I get step by step helpn with this problem?
A: Given:
Q: determine a function by being given the function’s first derivative and an initial condition for the…
A: Click to see the answer
Q: Use second fundamental theorem of calculus. Find the derivative F'(x) of the function.
A: Click to see the answer
Q: Finding a Derivative In Exercises 5–26, finddydx by implicit differentiation. 5. x2 + y2 = 9
A: Implicit differentiation: Implicit differentiation is the procedure of differentiating an…
Q: Finding a Derivative In Exercises 17–42, findthe derivative of the function. \text { 17. }…
A: Given function is fx=sin-1x-1. To find derivative of the function. Solution: Chain rule of…
Q: Finding a Derivative In Exercises 13–32, findthe derivative of the function.…
A: Click to see the answer
Q: Finding a Derivative In Exercises 13–32, findthe derivative of the function. y = 5(2 − x3)4
A: We have to find the derivative using the chain rule of differentiation . According to the chain rule…
Q: Implicit Differentiation In your own words, state the guidelines for implicit differentiation.
A: Implicit differentiation Example- Implicit differentiate: xy=1 Let y be a dependent variable on x…
Q: Finding a Derivative In Exercises 7–26, usethe rules of differentiation to find the derivative ofthe…
A: To find: The derivative of y=1x5. Concept used: Power rule of derivative: ddxxn=n·xn-1 Calculation:…
Q: derivative of the function
A: Derivative
Q: derivative of the function.
A: Given: The given function is, y=7e3x+e6x2 To find: The derivative of the given function. Formula…
Q: derivative of the function
A: Click to see the answer
Q: Finding a Derivative In Exercises 13–32, findthe derivative of the function. y=\sqrt[3]{6 x^{2}+1}
A: y=3(6x2+1)
Q: Finding a Second Derivative In Exercises59–62, find d2ydx2 implicitly in terms of x and y. 59. x2y…
A: Implicit functions in 2 variables are obtained when both the variables are used to define the…
Q: Evaluating a Second Derivative In Exercises 129–132,evaluate the second derivative of the function…
A: Derivative determines the change of one variable with respect to another variable. When the…
Q: Using the definition of derivative find the derivative of square root(x-8)
A: Click to see the answer
Q: Finding a Derivative In Exercises 41–58, findthe derivative of the function. \text { 44. } f(x)=8…
A: To find: The derivative of fx=8x+3x2. Concept used: Sum or difference rule of derivative:…
Q: Puestion 4. Using the definition of the derivative, show that f(x) = ifferentiable at x = -3. |2x+6|…
A: we have to show
Q: Finding a Derivative In Exercises 7–26, usethe rules of differentiation to find the derivative ofthe…
A: Differentiation of the function with respect to x helps to find the derivative of the function.…
Q: Second Derivative Test Describe the Second Derivative Test in your own words.
A: Second derivative test: Second derivative test is used to check whether the function has minimum or…
Q: What is the rule for calculating the derivative of a composition of two differentiable functions?…
A: Let f(x) and g(x) be two differentiable functions and their composition is
Q: Derivatives involving sec x and csc x Find the derivative ofy = sec x csc x.
A: Click to see the answer
Q: Derivatives involving sec x and csc x Find the derivative ofy = sec x csc x.
A: Find the derivative of y=secxcscx.
Q: Finding a Derivative In Exercises 97–102, find dydx byimplicit differentiation.97. x2 + y2 = 64
A: x2+y2=64
Q: First Derivative Test Describe the First DerivativeTest in your own words.
A: Analyzing any function by finding its first derivative and then finding their extremum point is…
Q: Differentiation. Find the value of the derivative of (iz + 6z2)° at 4i.
A: Let us define function f as f(z)= iz3+6z23
Q: Finding a Derivative In Exercises 13–32, findthe derivative of the function. y=\frac{1}{x-2}
A: The rate of change in the value of the dependent variable with respect to the change in the value of…
Q: Finding a Derivative In Exercises 41–58, findthe derivative of the function. \text { 46. }…
A: Given function is: hx=4x3+2x+5x We have to find the derivative of h(x). We will apply the quotient…
Q: The slope of the tangent line to the graph of the function at the point. V The average rate of…
A: We have to check
Q: a) Using the method of first principle find the derivative of the function 1 f(x) = Show that sin* x…
A: Click to see the answer
Q: sin(x) Find the 3rd derivative of y =
A: Click to see the answer
Q: Finding derivative of the function f(x) = cx". a Derivative Explain how to find the
A: given, fx=cxn
Q: Find the derivative of the function using the definitionof derivative. State the domain of the…
A: Given: Derivative by definition.
Q: Find the derivative of the function using the definition of derivative. g(x) = V4 - x g'(x) State…
A: Click to see the answer