hello guys i need help in derivatives?

Question

hello guys I want to solve this question?
Find the equation of the tangent line at the graph?
y= X^4-2x+(sqroot(5-x)^3 at (1,7)

Answer 1

A tangent line passes through the given point and has a slope equal to the derivative at that point.



y= x^4 - 2x + (5-x)^(3/2)

Use the power rule on each term to find the derivative.

On the last term you will also need the chain rule.



dy/dx = 4x^3 - 2 - 3/2 (5-x)^(1/2)



Evaluate at x = 1

dy/dx (1) = -1



Write the equation of a line with slope -1 through the point (1,7).

Answer 2

Hello guys i need help in derivatives?



hello guys I want to solve this question?

Find the equation of the tangent line at the graph?

y= X^4-2x+(sqroot(5-x)^3 at (1,7)

Answer 3

y=1/2x+6.5