My comment in maps with fragment , first you should refrenece your view as you will call something from it , this is why I inflate my view first
View view = inflater.inflate(R.layout.activity_maps, null, false);
Second call child fragment manager this.getChildFragmentManager() instead of getActivity().getSupportFragmentManager() 
Here is the full example to view map 
import android.os.Bundle;
import android.support.annotation.Nullable;
import android.support.v4.app.Fragment;
import android.view.LayoutInflater;
import android.view.View;
import android.view.ViewGroup;
import com.google.android.gms.maps.CameraUpdateFactory;
import com.google.android.gms.maps.GoogleMap;
import com.google.android.gms.maps.OnMapReadyCallback;
import com.google.android.gms.maps.SupportMapFragment;
import com.google.android.gms.maps.model.LatLng;
import com.google.android.gms.maps.model.MarkerOptions;
public class ClinicFragment extends Fragment implements OnMapReadyCallback {
    private GoogleMap mMap;
    public static ClinicFragment newInstance() {
        ClinicFragment fragment = new ClinicFragment();
        return fragment;
    }
    @Nullable
    @Override
    public View onCreateView(LayoutInflater inflater, ViewGroup container, Bundle savedInstanceState) {
        View view = inflater.inflate(R.layout.activity_maps, null, false);
        SupportMapFragment mapFragment = (SupportMapFragment) this.getChildFragmentManager()
                .findFragmentById(R.id.map);
        mapFragment.getMapAsync(this);
        return view;
    }
    /**
     * Manipulates the map once available.
     * This callback is triggered when the map is ready to be used.
     * This is where we can add markers or lines, add listeners or move the camera. In this case,
     * we just add a marker near Sydney, Australia.
     * If Google Play services is not installed on the device, the user will be prompted to install
     * it inside the SupportMapFragment. This method will only be triggered once the user has
     * installed Google Play services and returned to the app.
     */
    @Override
    public void onMapReady(GoogleMap googleMap) {
        mMap = googleMap;
        // Add a marker in Sydney and move the camera
        LatLng sydney = new LatLng(-34, 151);
        mMap.addMarker(new MarkerOptions().position(sydney).title("Marker in Sydney"));
        mMap.moveCamera(CameraUpdateFactory.newLatLng(sydney));
    }
}
required permission 
<permission
    android:name="your.package.name.permission.MAPS_RECEIVE"
    android:protectionLevel="signature" />
<uses-permission android:name="your.package.name.permission.MAPS_RECEIVE"/>
<uses-permission android:name="android.permission.INTERNET" />
<uses-permission android:name="android.permission.ACCESS_NETWORK_STATE" />
<uses-permission android:name="android.permission.WRITE_EXTERNAL_STORAGE" />
<uses-permission android:name="com.google.android.providers.gsf.permission.READ_GSERVICES" />
<uses-permission android:name="android.permission.ACCESS_COARSE_LOCATION" />
<uses-permission android:name="android.permission.ACCESS_FINE_LOCATION" />
plus feature element 
<uses-feature
    android:glEsVersion="0x00020000"
    android:required="true"/>
most import google maps key
<meta-data
    android:name="com.google.android.maps.v2.API_KEY"
    android:value="your_key_here" />
Update add this meta data if you face Error inflating class fragment
<meta-data 
      android:name="com.google.android.geo.API_KEY"  
      android:value="your_key_here" />
summery for mainfest 
<?xml version="1.0" encoding="utf-8"?>
<manifest xmlns:android="http://schemas.android.com/apk/res/android"
    package="your.package.name" >
// permission here
 <application
        android:name=".Activities.MyApplication"
        android:allowBackup="true"
        android:icon="@mipmap/ic_launcher"
        android:label="@string/app_name"
        android:theme="@style/AppTheme" >
    // feature element 
    // maps key
  </application>
</manifest>
activity_maps.xml
<fragment xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:map="http://schemas.android.com/apk/res-auto"
    xmlns:tools="http://schemas.android.com/tools"
    android:id="@+id/map"
    android:name="com.google.android.gms.maps.SupportMapFragment"
    android:layout_width="match_parent"
    android:layout_height="match_parent"
    tools:context="com.imaadv.leaynik.ClinicFragment" />