Answer:
![f'(x)=2x \sec^2(x^2+5)](https://tex.z-dn.net/?f=f%27%28x%29%3D2x%20%5Csec%5E2%28x%5E2%2B5%29)
Step-by-step explanation:
To differentiate this we will need to use the chain rule:
.
We will also have to keep in mind how to differentiate the following:
with repect to ![\theta](https://tex.z-dn.net/?f=%5Ctheta)
with respect to
.
![f(x)=\tan(x^2+5)](https://tex.z-dn.net/?f=f%28x%29%3D%5Ctan%28x%5E2%2B5%29)
Derivative of both sides:
![f'(x)=(x^2+5)'\cdot (\tan)'(x^2+5)](https://tex.z-dn.net/?f=f%27%28x%29%3D%28x%5E2%2B5%29%27%5Ccdot%20%28%5Ctan%29%27%28x%5E2%2B5%29)
![f'(x)=(2x+0) \cdot \sec^2(x^2+5)](https://tex.z-dn.net/?f=f%27%28x%29%3D%282x%2B0%29%20%5Ccdot%20%5Csec%5E2%28x%5E2%2B5%29)
![f'(x)=2x \sec^2(x^2+5)](https://tex.z-dn.net/?f=f%27%28x%29%3D2x%20%5Csec%5E2%28x%5E2%2B5%29)
Answer:
Gyu7
Step-by-step explanation:
Expression : 6w - 7 + 12w - 3z
Steps To Solving!
#1 : 6w - 7 + 12w - 3z
= 6w + -7 + 12w + -3z
#2 : Combine Like Terms
6w + -7 + 12w + -3z
= (6w + 12w) + (-3z) + (-7)
= 18w + -3z + -7
ANSWER: 18w - 3z - 7
Hope this helped!
Answer:
5x +35
Step-by-step explanation:
you woul use the distrubitive property
so multiply by x and and 7
so it becomes 5x +35
Answer: y = -3/4x - 15/16
Step-by-step explanation: Write in slope-intercept form, y=mx+b.
Hope this helps you out! ☺