Just to expand on this. No, increasing your max magicka will not give you more spell damage, vise versa for stamina/weapon damage. As these 'stats' are independent of each other. However, by increasing either, you are increasing the overall damage that you do to a certain extent. Lightspeedflash put the equation above, but it can be a lot to take in if you don't know what everything is. That being said, I don't want to go into a full discussion as it is a long discussion. However, I will give a couple examples.
First, take a magicka pet sorc. They have relatively low spell damage (2100ish), but they maintain very high max magicka (50k). This is because their damage (in a standard build) primarily comes from their light/heavy attacks and pet attacks. Both of these damage sources scale better by increasing you max magicka, rather than your spell damage.
Now, we can go on the other spectrum and look a stamina sorcerer. Stamina sorcs, or any stamina class really, have extremely high weapon damage (> 4500ish) and relatively speaking, low stamina pools (28-30k). This is because the stamina classes rely on weapon abilities (or non class abilities) as their primary sources of damage (e.g. Endless hail/Rending Slashes/Caltrops) that scale decently with weapon damage (and in all honesty the vMA bow for Endless Hail).
Now, this is a relatively simplistic view of the damage sources. In general though, you usually end up having to sacrifice your resource pool for weapon/spell damage or your weapon/spell damage for your resource pool. Both ideas do damage, but it depends on if you use them correctly.
Here is an older discussion that goes into more detail: https://forums.elderscrollsonline.com/en/discussion/318595/introduction-to-pve-damage-calculation-homestead. It may not be completely up to date, but should give you a good understanding of damage sources.
First, take a magicka pet sorc. They have relatively low spell damage (2100ish), but they maintain very high max magicka (50k). This is because their damage (in a standard build) primarily comes from their light/heavy attacks and pet attacks. Both of these damage sources scale better by increasing you max magicka, rather than your spell damage.
Now, we can go on the other spectrum and look a stamina sorcerer. Stamina sorcs, or any stamina class really, have extremely high weapon damage (> 4500ish) and relatively speaking, low stamina pools (28-30k). This is because the stamina classes rely on weapon abilities (or non class abilities) as their primary sources of damage (e.g. Endless hail/Rending Slashes/Caltrops) that scale decently with weapon damage (and in all honesty the vMA bow for Endless Hail).
Now, this is a relatively simplistic view of the damage sources. In general though, you usually end up having to sacrifice your resource pool for weapon/spell damage or your weapon/spell damage for your resource pool. Both ideas do damage, but it depends on if you use them correctly.
Here is an older discussion that goes into more detail: https://forums.elderscrollsonline.com/en/discussion/318595/introduction-to-pve-damage-calculation-homestead. It may not be completely up to date, but should give you a good understanding of damage sources.
Does The Bow Do Magic Dmg Or Stamina Damage Skyrim 4
Overhaul mods change dagger damage to be static, smithing depended. ORIGINAL game doesnt have that, and it does exact same damage and benefits from exact same values as one handed sword does. Bow perks DONT increase dagger damage. Sneak damage multipliers are based on weapon, doesnt affect damage.