find the equation of the function that has 𝑓′(𝑥)=6𝑥3+𝑥+7𝑓′(𝑥)=6𝑥3+𝑥+7 and passes through the point (0,4)
Question
Solution 1
The given derivative function is f'(x) = 6x^3 + x + 7.
To find the original function f(x), we need to integrate the derivative function.
∫f'(x) dx = ∫(6x^3 + x + 7) dx = (6/4)x^4 + (1/2)x^2 + 7x + C.
So, f(x) = (3/2)x^4 + (1/2)x^2 + 7x + C.
We know that the function passes through the point (0, Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv
Similar Questions
find the equation of the function that has 𝑓′(𝑥)=6𝑥3+𝑥+7𝑓′(𝑥)=6𝑥3+𝑥+7 and passes through the point (0,4)
A function 𝑓(𝑥) has the property that, for all positive 𝑥, 3𝑓(𝑥)+7𝑓(2016𝑥)=2𝑥.What is the value of 𝑓(8)?
A function of the form 𝑓(𝑥)=𝑎|𝑥|𝑓(𝑥)=𝑎|𝑥| contains the point (−1,3)(−1,3). What is the value of 𝑎𝑎 for this function. 𝑎=𝑎= Answer 1 Question 7
find the equation of the line that passes through the point (-8,-4)and has slope -7/4. simplify your equation to the following form. y=-7/4x+
Find the function whose tangent has slope 𝑥 3 − 2 𝑥 2 + 16 for each of x and whose graph passes through the point (2,5).