Question

write the equation of the tangent line to the curve y=x^3+xat the points where the slope is 4.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Derivative

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Kindly help

A: Refer to the question, we have to calculate the Taylor series for the provided function,

Q: I need help please.

A: Rewrite the given series and proceed further.

Q: The revenue from the sale of a product is, in dollars, R = 1500x + 3000(3x + 3)−1 − 1000 where x i...

A: The revenue from the sale of a product is, in dollars,R = 1500x + 3000(3x + 3)−1 − 1000where x is th...

Q: For  y= (x^4/4)-(x^3/3)-2   (a) Find y' =f'(x). (b) Find the critical values. (c) Find the critical ...

A: We are given a function  

Q: Please show as much steps as possible as I am doing my best to fully understand how to solve these t...

A: Given function is, 

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...

A: The given interval is [-1,1] and the function is,   

Q: e) 1-5x - 31 8 nD 14-0.5x| 2 8 nos AR ) D6). C-17.3.), B(0,7.51 bo g) 4>-3x - 51 9-th onanibuoos-X 3...

A: You have asked a series of independent questions. I will address the first three parts. Please post ...

Q: Use the derivative f'(x) = (x - 3)(x + 4)(x + 4) to determine the maxima and minima of f and the int...

A: f will be increasing if f'(x)>0. From the graph of f'(x) we see f'(x)>0 when x>3 [because a...

Q: Differentiate the function. s(t) = 7t − 2(3t4 + 4)3

A: The differentiation of the function with respect to t  as follows.

Q: 13. A 13 foot sliding ladder is leaning against a house when its base starts to slide away. By the t...

A: We are given diagram as

Q: Given f(x) = x^3 + 3x - 2 , find y = (f ^-1 (x))' at the point (2,1)

A: Click to see the answer

Q: Suppose that a particle has been shot into the air in such a way that the rate at which its height i...

A: v = 320 - 32tIf h represents the height of the particle at any time t, then:v = dh / dt = 320 - 2t

Q: (x4x2.3) dx = O 5x5-33+3x+ C 4x3 -2x +C 3 3x C 3 4x3 - 2x C (x4-x2+3)2 C

A: Click to see the answer

Q: Help please.

A: The given function is (tan-1x)2.

Q: Please help. Find the values of x for which the given geometric series converges. Also, find the sum...

A: (a)Consider the given geometric series:

Q: How can I get the result? Which is the result?

A: (a)we are given a function 

Q: Hello, How is tan^-1 (tan (6pi/7)=-pi/7 possible? I don't know how it should be a negative or to use...

A: First consider:

Q: Determine the interval(s) on which the following function is continuous, then analyze the given limi...

A: (2+2cosx) and sinx both are continuous functions. So the function (2+2cos x)/sinx will be discontinu...

Q: Logarithmic Differentaition - see attachment

A: Given information:The given function is 

Q: Decide which integral of the Divergence Theorem to use and compute the outward flux of the vector fi...

A: From the Divergence theorem, for a positively oriented boundary surface (outward Normal) of region E...

Q: Suppose that the demand for a product is given by  p= 1/2ln (5000-q/q+1) where p is in hundreds of d...

A: The elasticity of demand when the quantity demanded (q) is 2 and the price (p) is 3.71 hundreds of d...

Q: PK P (K-P)e 8. Scientists use the Logistic Growth function P(t) = to model population growth where P...

A: The logistic growth function is given by,

Q: Evaluate the following integral as written. Please refer to attached image.

A: It's  aquestion of double integral. We will first evalaute the integral with respect to x, put the l...

Q: Please help.

A: The given series is,

Q: Calculate the area, in square units, bounded by g(x)=4x−2 and f(x)=5x−15 over the interval [−11,4]. ...

A: Area of region between g(x) and f(x) over the interval [–11,4] is computed as follows.

Q: for the function f, given below, find the antiderivative F that satisfies F(1) = 1 The antiderivativ...

A: First, we find the general solution using integration. 

Q: How can I get the result? Which is the result?

A: The given function is given by

Q: Find the work required to move the object on the line segment. Please refer to attached image.

A: As a first step we need to parameterize the curve C. The curve has two points (1, 4, 1) and (4, 16, ...

Q: Find an equation of the tangent line to the curve at the given point. y x-2x + 1, (2, 5) Need Help? ...

A: We know that the value of slope of tangent  to the curve y=f(x) at (a,b) is the value of dy/dx at (a...

Q: please explain how to solve this

A: (a)We are given graphand we can locate upper and lower curves on different regions

Q: How do you solve the limit of this graph?

A: x->-1^- means x is slightly less than -1.

Q: 2x4 +4x3 y″−6(lnx)y‴=−3x3 −2x5 y(4) +7(lnx)y′   What is the order of the differential equation shown...

A: The given differential equation is ,2x4 +4x3 y″−6(lnx)y‴=−3x3 −2x5 y(4) +7(lnx)y′. The order of the ...

Q: Please help me about this.

A: The radius of convergence is 4 which can be computed as follows.

Q: Show that f(x, y) = ln(x2 + y2) solves Laplace's equation, ∂2z ∂x2  +  ∂2z ∂y2  = 0...

A: Given Laplace’s equation is 

Q: 34. If a, b, andc are all positive constants and y(x) is a solution of the differential equation ay"...

A: Given that the differential equation is

Q: This is #1

A: Part (a)Consider an object moving along a line with the velocity and initial position.

Q: An object is thrown straight up with a velocity, in ft/s, given by v(t)32t +53, where t is in second...

A: a)The given velocity function is v(t) = −32t + 53.In order to find the initial velocity, substitute ...

Q: 1. Given the function f(x) x-4x (a) Determine if the function x) defined on Theorem. If so, find the...

A: a) To check whether the given function satifies the Rolle\\\\\\'s theorem over the interval [0, 4] o...

Q: Find the domain: g(x) = ln(e^x -5)

A: The domain of ln z is z>0. We'll use the same concept here. So e^x-5>0. 

Q: I know it’s u-sub, but I forgot how...

A: Given information:The given integral is  

Q: a. find a possible function f and number a b. evaluate the limit by computing f`(a).

A: We first write the given function in the form of the definition of the derivative.