Created a "Single View Application" project and added ReplayKit code to the ViewController files

ReplayKitExample.m

//
//  ViewController.h
//  ReplayKitExample
//
//  Created by Christopher Stoll on 6/11/15.
//  Copyright © 2015 Christopher Stoll. All rights reserved.
//

#import <UIKit/UIKit.h>
#import <ReplayKit/ReplayKit.h>

@interface ViewController : UIViewController <RPScreenRecorderDelegate, RPPreviewViewControllerDelegate>

@property (weak, nonatomic) RPPreviewViewController *previewViewController;

- (IBAction)doRecord:(id)sender;
- (IBAction)doPreviewSave:(id)sender;

@end



//
//  ViewController.m
//  ReplayKitExample
//
//  Created by Christopher Stoll on 6/11/15.
//  Copyright © 2015 Christopher Stoll. All rights reserved.
//

#import "ViewController.h"

@interface ViewController ()

@end

@implementation ViewController

- (void)viewDidLoad {
    [super viewDidLoad];
    // Do any additional setup after loading the view, typically from a nib.
}

- (void)didReceiveMemoryWarning {
    [super didReceiveMemoryWarning];
    // Dispose of any resources that can be recreated.
}

#pragma mark - ReplayKit

- (void)startScreenRecording {
    RPScreenRecorder *sharedRecorder = RPScreenRecorder.sharedRecorder;
    sharedRecorder.delegate = self;
    [sharedRecorder startRecordingWithMicrophoneEnabled:YES handler:^(NSError *error) {
        if (error) {
            NSLog(@"startScreenRecording: %@", error.localizedDescription);
        }
    }];
}

- (void)stopScreenRecording {
    RPScreenRecorder *sharedRecorder = RPScreenRecorder.sharedRecorder;
    [sharedRecorder stopRecordingWithHandler:^(RPPreviewViewController *previewViewController, NSError *error) {
        if (error) {
            NSLog(@"stopScreenRecording: %@", error.localizedDescription);
        }
        
        if (previewViewController) {
            previewViewController.previewControllerDelegate = self;
            self.previewViewController = previewViewController;
            
            // RPPreviewViewController only supports full screen modal presentation.
            self.previewViewController.modalPresentationStyle = UIModalPresentationFullScreen;
            
            [self.view.window.rootViewController presentViewController:previewViewController animated:YES completion:nil];
        }
    }];
    
}

#pragma mark - RPScreenRecorderDelegate

- (void)screenRecorder:(RPScreenRecorder *)screenRecorder didStopRecordingWithError:(NSError *)error previewViewController:(nullable RPPreviewViewController *)previewViewController {
    // handle error which caused unexpected stop of recording
}

- (void)screenRecorderDidChangeAvailability:(RPScreenRecorder *)screenRecorder {
    // handle screen recorder availability changes
}

#pragma mark - RPPreviewViewControllerDelegate

- (void)previewControllerDidFinish:(RPPreviewViewController *)previewController {
    [previewController dismissViewControllerAnimated:YES completion:nil];
}

#pragma mark - Interface Actions

- (IBAction)doRecord:(id)sender {
    [self startScreenRecording];
}

- (IBAction)doPreviewSave:(id)sender {
    [self stopScreenRecording];
}

@end